Question

The axis of symmetry for the function f(x) = -x² - 10x + 16 is x = -5. What are the coordinates of the vertex of the

graph?

A. (-5,41)
B. (-5,56)
C. (-5,76)
D. (-5,91)

Answer 1

A

Explanation:

the axis of symmetry passes through the vertex

its equation x = - 5 is the x- coordinate of the vertex

substitute x = - 5 into f(x) for corresponding y- coordinate

f(- 5) = - (- 5)² - 10(- 5) + 16

= - 25 + 50 + 16

= - 25 + 66

= 41

coordinates of vertex = (- 5, 41 )