Question

find the vertex.
f(x) = 9(x + 7)^2 + 4
(?, )

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: Compare with given function

Given \( f(x) = 9(x + 7)^2 + 4 \), we can rewrite \( x + 7 \) as \( x - (-7) \). So comparing with \( f(x) = a(x - h)^2 + k \), we have \( h = -7 \) and \( k = 4 \).

Answer:

\((-7, 4)\)