Question

find the vertex.
$f(x) = -2(x - 9)^2 + 7$
$(?, \square)$

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 \( f(x)=-2(x - 9)^2 + 7 \), comparing with \( f(x)=a(x - h)^2 + k \), we have \( h = 9 \) and \( k = 7 \).

Answer:

\((9, 7)\)