Question

find the vertex.
f(x) = 2(x - 5)² - 7
(?, )

Explanation:

Step1: Recall vertex form of parabola

The vertex form of a parabola is \( f(x) = a(x - h)^2 + k \), where \((h, k)\) is the vertex.

Step2: Identify h and k from given function

For the function \( f(x) = 2(x - 5)^2 - 7 \), comparing with \( f(x) = a(x - h)^2 + k \), we have \( h = 5 \) and \( k = -7 \).

Answer:

\((5, -7)\)