Let a, h, and k be arbitrary real numbers with a + 0, and let f be the function given by the rule f(x) = a(x – h)? + k. :- Which of the following statements are true about f? Select all that apply. A. The maximum value of f(x) is h. B. If a > 0, then f has a global maximum. C. The graph of y = f(x) is a line. D. An extreme value occurs at the point (h, k). E. If a > 0, then f has a global minimum. F. The graph of y = f(x) is a parabola. G. None of the above

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 42HP
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Let a, h, and k be arbitrary real numbers with a # 0, and let f be the function given by the rule f(x) = a(x – h)² + k.
Which of the following statements are true about f? Select all that apply.
A. The maximum value of f(x) is h.
B. If a > 0, then f has a global maximum.
C. The graph of y = f(x) is a line.
D. An extreme value occurs at the point (h, k).
E. If a > 0, then f has a global minimum.
F. The graph of y = f(x) is a parabola.
G. None of the above
Transcribed Image Text:Let a, h, and k be arbitrary real numbers with a # 0, and let f be the function given by the rule f(x) = a(x – h)² + k. Which of the following statements are true about f? Select all that apply. A. The maximum value of f(x) is h. B. If a > 0, then f has a global maximum. C. The graph of y = f(x) is a line. D. An extreme value occurs at the point (h, k). E. If a > 0, then f has a global minimum. F. The graph of y = f(x) is a parabola. G. None of the above
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