The vertex of the function f(x) = -4x² + 16x - 5 is a. (2, 11) b. (-2, 11) c. (2,-9) d. (-2,-9)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. The vertex of the function f(x) = −4x² + 16x - 5 is
a. (2, 11)
b. (-2, 11)
8. How many times does the graph of f(x) = −3(x − 5)² touch the x -axis?
a. none
C.
two
b. one
c. (2,-9)
d. (-2,-9)
b. -28
d. need more information
9. Determine the coordinates of the vertex for the function f(x) = −2(x + 1)(x − 3)
a. (-2, -3)
c. (-1,8)
C.
b. (-2, 1)
10. Determine the value of c for the function f(x) = 2x² - 4x + c given that it passes through the point (3,2)
a. 4
C. -4
d. (1,8)
d. 3
Transcribed Image Text:7. The vertex of the function f(x) = −4x² + 16x - 5 is a. (2, 11) b. (-2, 11) 8. How many times does the graph of f(x) = −3(x − 5)² touch the x -axis? a. none C. two b. one c. (2,-9) d. (-2,-9) b. -28 d. need more information 9. Determine the coordinates of the vertex for the function f(x) = −2(x + 1)(x − 3) a. (-2, -3) c. (-1,8) C. b. (-2, 1) 10. Determine the value of c for the function f(x) = 2x² - 4x + c given that it passes through the point (3,2) a. 4 C. -4 d. (1,8) d. 3
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