{"id":25490,"date":"2024-07-12T03:40:53","date_gmt":"2024-07-11T20:40:53","guid":{"rendered":"https:\/\/www.domainjava.com\/blog\/artikel\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/"},"modified":"2024-07-12T03:40:53","modified_gmt":"2024-07-11T20:40:53","slug":"tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x","status":"publish","type":"post","link":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/","title":{"rendered":"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X"},"content":{"rendered":"<p>Fungsi kuadrat merupakan fungsi yang berbentuk <code>f(x) = ax^2 + bx + c<\/code> dimana a, b, dan c adalah konstanta. Fungsi kuadrat memiliki grafik berbentuk parabola, dan posisi parabola tersebut dapat diubah berdasarkan nilai a, b, dan c.<\/p>\n<h2>Memahami Grafik Fungsi Kuadrat yang Memotong Sumbu X<\/h2>\n<p>Grafik fungsi kuadrat memotong sumbu x yang berarti nilai fungsi f(x) adalah nol. Dalam istilah matematika, memotong sumbu x berarti mencari nilai-nilai dari x pada kondisi f(x)=0.<\/p>\n<p>Dengan kata lain, ketika kita diminta untuk menentukan fungsi kuadrat yang grafiknya memotong sumbu x, kita sebenarnya sedang diminta untuk memecahkan persamaan kuadrat <code>ax^2 + bx + c = 0<\/code>.<\/p>\n<h2>Metode Penyelesaian<\/h2>\n<p>Untuk menyelesaikan persamaan ini dan menemukan titik potong (akar-akar), kita bisa menggunakan metode berikut:<\/p>\n<ul>\n<li>Faktorisasi<\/li>\n<li>Rumus ABC \/ Kuadrat Sempurna<\/li>\n<\/ul>\n<p>Metode faktorisasi biasanya digunakan apabila koefisien a, b, dan c memenuhi syarat tertentu, sehingga persamaan kuadrat tersebut dapat difaktorkan menjadi dua binomial.<\/p>\n<p>Sedangkan Rumus ABC lebih umum digunakan karena dapat diaplikasikan kepada semua persamaan kuadrat, baik itu bisa difaktorkan ataupun tidak. Rumus ABC ini dirumuskan sebagai <code>x = [-b \u00b1 sqrt(b\u00b2 - 4ac)] \/ 2a<\/code>. Dengan metode ini, kita dapat menemukan 0, 1, atau 2 titik potong (akar) tergantung pada diskriminan (nilai dalam akar kuadrat) tersebut.<\/p>\n<h2>Contoh<\/h2>\n<p>Misalkan kita memiliki fungsi kuadrat <code>f(x) = 2x^2 - 3x - 2 = 0<\/code>, untuk mengetahui titik potong sumbu x dari fungsi tersebut, kita gunakan rumus ABC.<\/p>\n<p>Diskriminan diperoleh dari <code>D = b\u00b2 - 4ac = (-3)\u00b2 - 4.2.(-2) = 9 +16 = 25<\/code><\/p>\n<p>Nilai x didapatkan dari <code>x = [-b \u00b1 sqrt(D)] \/ 2a = [3 \u00b1 sqrt(25)] \/ 4 = [3 \u00b1 5 ] \/ 4<\/code>, sehingga kita mendapatkan dua solusi yaitu x1 = 2 dan x2 = -0.5. Dengan demikian, fungsi kuadrat tersebut memotong sumbu x pada titik x = 2 dan x = -0.5.<\/p>\n<p>Jadi, jawabanya apa? Jawabannya adalah fungsi kuadrat <code>f(x) = 2x^2 - 3x - 2<\/code> memiliki titik potong pada x = 2 dan x = -0.5. Dengan menyelesaikan persamaan kuadrat tersebut, kita dapat menentukan titik-titik di mana grafik fungsi kuadrat memotong sumbu x.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fungsi kuadrat merupakan fungsi yang berbentuk f(x) = ax^2 + bx + c dimana a, b, dan c adalah konstanta. Fungsi kuadrat memiliki grafik berbentuk parabola, dan posisi parabola tersebut dapat diubah berdasarkan nilai a, b, dan c. Memahami Grafik Fungsi Kuadrat yang Memotong Sumbu X Grafik fungsi kuadrat memotong sumbu x yang berarti nilai &#8230; <a title=\"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X\" class=\"read-more\" href=\"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/\" aria-label=\"Baca selengkapnya tentang Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-25490","post","type-post","status-publish","format-standard","hentry","category-wawasan"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.7) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X - DomainJava Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X\" \/>\n<meta property=\"og:description\" content=\"Fungsi kuadrat merupakan fungsi yang berbentuk f(x) = ax^2 + bx + c dimana a, b, dan c adalah konstanta. Fungsi kuadrat memiliki grafik berbentuk parabola, dan posisi parabola tersebut dapat diubah berdasarkan nilai a, b, dan c. Memahami Grafik Fungsi Kuadrat yang Memotong Sumbu X Grafik fungsi kuadrat memotong sumbu x yang berarti nilai ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/\" \/>\n<meta property=\"og:site_name\" content=\"DomainJava Blog\" \/>\n<meta property=\"article:published_time\" content=\"2024-07-11T20:40:53+00:00\" \/>\n<meta name=\"author\" content=\"DomainJava\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"DomainJava\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\\\/\"},\"author\":{\"name\":\"DomainJava\",\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#\\\/schema\\\/person\\\/3c243940a5e3e43cffa1312a02aafeaf\"},\"headline\":\"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X\",\"datePublished\":\"2024-07-11T20:40:53+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\\\/\"},\"wordCount\":266,\"publisher\":{\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#organization\"},\"articleSection\":[\"Wawasan\"],\"inLanguage\":\"id\",\"copyrightYear\":\"2024\",\"copyrightHolder\":{\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#organization\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\\\/\",\"url\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\\\/\",\"name\":\"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X - DomainJava Blog\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#website\"},\"datePublished\":\"2024-07-11T20:40:53+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\\\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Beranda\",\"item\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Wawasan\",\"item\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/category\\\/wawasan\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#website\",\"url\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/\",\"name\":\"DomainJava Blog\",\"description\":\"Inspiration For You\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"id\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#organization\",\"name\":\"DomainJava\",\"url\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/wp-content\\\/uploads\\\/2026\\\/06\\\/Domain-Java.png\",\"contentUrl\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/wp-content\\\/uploads\\\/2026\\\/06\\\/Domain-Java.png\",\"width\":512,\"height\":512,\"caption\":\"DomainJava\"},\"image\":{\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#\\\/schema\\\/logo\\\/image\\\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/#\\\/schema\\\/person\\\/3c243940a5e3e43cffa1312a02aafeaf\",\"name\":\"DomainJava\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/wp-content\\\/litespeed\\\/avatar\\\/d883fd2eba9c8d531a4346562d630089.jpg?ver=1780683634\",\"url\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/wp-content\\\/litespeed\\\/avatar\\\/d883fd2eba9c8d531a4346562d630089.jpg?ver=1780683634\",\"contentUrl\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/wp-content\\\/litespeed\\\/avatar\\\/d883fd2eba9c8d531a4346562d630089.jpg?ver=1780683634\",\"caption\":\"DomainJava\"},\"sameAs\":[\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\"],\"url\":\"https:\\\/\\\/www.domainjava.com\\\/id\\\/blog\\\/author\\\/domainjava\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X - DomainJava Blog","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/","og_locale":"id_ID","og_type":"article","og_title":"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X","og_description":"Fungsi kuadrat merupakan fungsi yang berbentuk f(x) = ax^2 + bx + c dimana a, b, dan c adalah konstanta. Fungsi kuadrat memiliki grafik berbentuk parabola, dan posisi parabola tersebut dapat diubah berdasarkan nilai a, b, dan c. Memahami Grafik Fungsi Kuadrat yang Memotong Sumbu X Grafik fungsi kuadrat memotong sumbu x yang berarti nilai ... Read more","og_url":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/","og_site_name":"DomainJava Blog","article_published_time":"2024-07-11T20:40:53+00:00","author":"DomainJava","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"DomainJava","Estimasi waktu membaca":"1 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/#article","isPartOf":{"@id":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/"},"author":{"name":"DomainJava","@id":"https:\/\/www.domainjava.com\/id\/blog\/#\/schema\/person\/3c243940a5e3e43cffa1312a02aafeaf"},"headline":"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X","datePublished":"2024-07-11T20:40:53+00:00","mainEntityOfPage":{"@id":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/"},"wordCount":266,"publisher":{"@id":"https:\/\/www.domainjava.com\/id\/blog\/#organization"},"articleSection":["Wawasan"],"inLanguage":"id","copyrightYear":"2024","copyrightHolder":{"@id":"https:\/\/www.domainjava.com\/id\/blog\/#organization"}},{"@type":"WebPage","@id":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/","url":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/","name":"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X - DomainJava Blog","isPartOf":{"@id":"https:\/\/www.domainjava.com\/id\/blog\/#website"},"datePublished":"2024-07-11T20:40:53+00:00","breadcrumb":{"@id":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.domainjava.com\/id\/blog\/tentukan-fungsi-kuadrat-yang-grafiknya-memotong-sumbu-x\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Beranda","item":"https:\/\/www.domainjava.com\/id\/blog\/"},{"@type":"ListItem","position":2,"name":"Wawasan","item":"https:\/\/www.domainjava.com\/id\/blog\/category\/wawasan\/"},{"@type":"ListItem","position":3,"name":"Tentukan Fungsi Kuadrat yang Grafiknya Memotong Sumbu X"}]},{"@type":"WebSite","@id":"https:\/\/www.domainjava.com\/id\/blog\/#website","url":"https:\/\/www.domainjava.com\/id\/blog\/","name":"DomainJava Blog","description":"Inspiration For You","publisher":{"@id":"https:\/\/www.domainjava.com\/id\/blog\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.domainjava.com\/id\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"id"},{"@type":"Organization","@id":"https:\/\/www.domainjava.com\/id\/blog\/#organization","name":"DomainJava","url":"https:\/\/www.domainjava.com\/id\/blog\/","logo":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/www.domainjava.com\/id\/blog\/#\/schema\/logo\/image\/","url":"https:\/\/www.domainjava.com\/id\/blog\/wp-content\/uploads\/2026\/06\/Domain-Java.png","contentUrl":"https:\/\/www.domainjava.com\/id\/blog\/wp-content\/uploads\/2026\/06\/Domain-Java.png","width":512,"height":512,"caption":"DomainJava"},"image":{"@id":"https:\/\/www.domainjava.com\/id\/blog\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/www.domainjava.com\/id\/blog\/#\/schema\/person\/3c243940a5e3e43cffa1312a02aafeaf","name":"DomainJava","image":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/www.domainjava.com\/id\/blog\/wp-content\/litespeed\/avatar\/d883fd2eba9c8d531a4346562d630089.jpg?ver=1780683634","url":"https:\/\/www.domainjava.com\/id\/blog\/wp-content\/litespeed\/avatar\/d883fd2eba9c8d531a4346562d630089.jpg?ver=1780683634","contentUrl":"https:\/\/www.domainjava.com\/id\/blog\/wp-content\/litespeed\/avatar\/d883fd2eba9c8d531a4346562d630089.jpg?ver=1780683634","caption":"DomainJava"},"sameAs":["https:\/\/www.domainjava.com\/id\/blog"],"url":"https:\/\/www.domainjava.com\/id\/blog\/author\/domainjava\/"}]}},"_links":{"self":[{"href":"https:\/\/www.domainjava.com\/id\/blog\/wp-json\/wp\/v2\/posts\/25490","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.domainjava.com\/id\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.domainjava.com\/id\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.domainjava.com\/id\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.domainjava.com\/id\/blog\/wp-json\/wp\/v2\/comments?post=25490"}],"version-history":[{"count":0,"href":"https:\/\/www.domainjava.com\/id\/blog\/wp-json\/wp\/v2\/posts\/25490\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.domainjava.com\/id\/blog\/wp-json\/wp\/v2\/media?parent=25490"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.domainjava.com\/id\/blog\/wp-json\/wp\/v2\/categories?post=25490"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.domainjava.com\/id\/blog\/wp-json\/wp\/v2\/tags?post=25490"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}