Question

Determine the axis of symmetry for the function f(x) = 5(x - 1)² - 8.

a) x = -8
b) x = 8
c) x = -1
d) x = 1

Answer 1

The axis of symmetry for the function f(x) = 5(x - 1)² - 8 is x = 1.

Step-by-step explanation:

The function f(x) = 5(x - 1)² - 8 is a quadratic function in vertex form, where the vertex is given by (h, k), with h being the x-coordinate and k being the y-coordinate. In this case, the vertex is (1, -8).

Therefore, the axis of symmetry is the vertical line that passes through the vertex. Since the x-coordinate of the vertex is 1, the equation of the axis of symmetry is x = 1.

So, the correct answer is x = 1.