Question

Find the vertex of the graph of the function.

f(x) = (x - 10)2 - 8 (2 points)
A. (10, -8)
B. (-8, 0)
C. (0, 10)
D. (-8, 10)

Answer 1

Explanation:

• y=(x-10)²-8

General equation of parabola

vertex form is given by

• y=a(x-h)²+k

On comparing we get

• h=10
• k=-8

So vertex is at (10,-8)

Answer 2

• A. (10, -8)

Explanation:

Given function:

• f(x) = (x - 10)² - 8

The vertex form of a quadratic function:

• f(x) = (x - h)² + k, where (h, k) is the vertex

According to the above, the vertex of the given function is:

• (10, -8)

Correct choice is A