Question

what are the coordinates of the vertex of $g(x) = (x - 3)^2 - 9$? strategy: graph and click hint: do you notice the numbers that you found in the equation? ( , ) drag these tiles and drop them in the correct blank above 3 9 0 -9 -3

Explanation:

Step1: Recall vertex form of parabola

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

Step2: Identify h and k from given function

For the function \( g(x) = (x - 3)^2 - 9 \), comparing with \( y = a(x - h)^2 + k \), we have \( h = 3 \) and \( k = -9 \). So the vertex coordinates are \((3, -9)\).

Answer:

(3, -9)