{"id":"cb_practice_pdf:t9-math-m1-q17","source_id":"cb_practice_pdf","source_item_id":"t9-math-m1-q17","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":null,"form_id":"cb_practice_pdf:test-9","module_number":1,"position":17,"stem":"f(x) = (x+6)(x+5)(x−4) The function fis given. Which table of values = f(x)−3 represents y?","stimulus":"","stimulus_html":null,"stem_html":"<p>f(x) = (x+6)(x+5)(x−4) The function fis given. Which table of values = f(x)−3 represents y?</p>","rationale_html":"<p>= +6 +5 -4 = - Choice B is correct. It’s given that f^xh ^x h^x h^x h and y f^xh 3. +6 +5 -4 = - Substituting ^x h^x h^x h for f^xh in the equation y f^xh 3 yields = +6 +5 -4-3 - y ^x h^x^ hhx . Substituting 6 for x in this equation yields = -6+6 -6+5 -6-4-3 =- - y ^ h^ h^h , or y 3. Substituting 5 for x in the = +6 +5 -4-3 = -5+6 -5+5 -5-4-3 equation y ^x h^x^ hhx yields y ^ h^ h^h , or =- = +6 +5 -4-3 y 3. Substituting 4 for x in the equation y ^x h^x^ hhx yields = 4+6 4+5 4-4-3 =- =- =- y ^ h^ h^h , or y 3. Therefore, when x 6 then y 3, =- =- = =- when x 5 then y 3, and when x 4 then y 3. Thus, the table of values = - in choice B represents y f^xh 3. 35 SAT PRACTICE TEST #9 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1 = - = - Choice A is incorrect. This table represents y x3 rather than y f^xh 3. = + = - Choice C is incorrect. This table represents y x3 rather than y f^xh 3. = + = - Choice D is incorrect. This table represents y f^xh 3 rather than y f^xh 3.</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>x y −6 −9 −5 −8 4 1</p>","ord":0},{"label":"B","content_html":"<p>x y −6 −3 −5 −3 4 −3</p>","ord":1},{"label":"C","content_html":"<p>x y −6 −3 −5 −2 4 7</p>","ord":2},{"label":"D","content_html":"<p>x y −6 3 −5 3 4 3</p>","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}}