{"id":"cb_question_bank:4752fe08-ae43-4c6b-897e-fdcd6cc8629d","source_id":"cb_question_bank","source_item_id":"4752fe08-ae43-4c6b-897e-fdcd6cc8629d","external_id":"52978a8b-cb33-43f8-a130-45f92771e3d0","ibn":null,"question_id":"e166aca6","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.C.","skill":"Nonlinear functions","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The parabola opens upward. The vertex is at point (4 comma 0). The parabola passes through the following points: (3 comma 5) (4 comma 0) (5 comma 5) What is the x -intercept of the graph shown?","stimulus":"","stimulus_html":null,"stem_html":"

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

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What is the x-intercept of the graph shown?

","rationale_html":"

Choice D is correct. The x-intercept of the graph shown is the point x,y on the graph where \n\ty\n\t=\n\t0\n\n. At \n\ty\n\t=\n\t0\n\n, the corresponding value of x\n is 4\n. Therefore, the x-intercept of the graph shown is 4,0.

\n

Choice A is incorrect. This is the x-intercept of a graph in the xy-plane that intersects the x-axis at \n\tx\n\t=\n\t-5\n\n, not \n\tx\n\t=\n\t4\n\n.

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Choice B is incorrect. This is the x-intercept of a graph in the xy-plane that intersects the x-axis at \n\tx\n\t=\n\t5\n\n, not \n\tx\n\t=\n\t4\n\n.

\n

Choice C is incorrect. This is the x-intercept of a graph in the xy-plane that intersects the x-axis at \n\tx\n\t=\n\t-4\n\n, not \n\tx\n\t=\n\t4\n\n.

","correct_answer":["D"],"has_media":true,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.827000+00:00","source_updated_at":"2023-08-02T20:25:59.827000+00:00","options":[{"label":"A","content_html":"

-5,0

","ord":0},{"label":"B","content_html":"

5,0

","ord":1},{"label":"C","content_html":"

-4,0

","ord":2},{"label":"D","content_html":"

4,0

","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}