{"id":"cb_practice_pdf:t8-math-m2-q10","source_id":"cb_practice_pdf","source_item_id":"t8-math-m2-q10","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-8","module_number":2,"position":10,"stem":"- - - -_defined_by - - -_=_7x -_._In_the - ~ 3 The function f is f(x) y = g(x) xy-plane, the graph of is the result of = f(x) shifting the graph of y down 2 units. Which equation defines function g? g(x) = x^3","stimulus":"","stimulus_html":null,"stem_html":"<p>- - - -_defined_by - - -_=_7x -_._In_the - ~ 3 The function f is f(x) y = g(x) xy-plane, the graph of is the result of = f(x) shifting the graph of y down 2 units. Which equation defines function g? g(x) = x^3</p>","rationale_html":"<p>= Choice D is correct. If the graph of y g^xh is the result of shifting the graph of = y f^xh down k units in the xy-plane, the function g can be defined by an = - =7 3 equation of the form g^xh f^xh k. It’s given that f^xh x and the graph of = = y g^xh is the result of shifting the graph of y f^xh down 2 units. Substituting 7 3 = - =7 3-2 x for f^xh and 2 for k in the equation g^xh f^xh k yields g^xh x . Choice A is incorrect and may result from conceptual errors. Choice B is incorrect and may result from conceptual errors. Choice C is incorrect. This equation = defines a function g for which the graph of y g^xh is the result of shifting the = graph of y f^xh up, not down, 2 units.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>7/2 2 g(x) = 7x^3</p>","ord":0},{"label":"B","content_html":"<p>g(x) = 7x^3 +2</p>","ord":1},{"label":"C","content_html":"<p>g(x) = 7x^3 −2</p>","ord":2},{"label":"D","content_html":"","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}