the parent function of the function $g(x)=(x - h)^2 + k$ is $f(x)=x^2$. the vertex of the function $g(x)$ is…

the parent function of the function $g(x)=(x - h)^2 + k$ is $f(x)=x^2$. the vertex of the function $g(x)$ is located at $(9, - 8)$. what are the values of $h$ and $k$? $g(x)=(x-square)^2+square$

the parent function of the function $g(x)=(x - h)^2 + k$ is $f(x)=x^2$. the vertex of the function $g(x)$ is located at $(9, - 8)$. what are the values of $h$ and $k$? $g(x)=(x-square)^2+square$

Answer

Explanation:

Step1: Recall vertex - form of quadratic function

The vertex - form of a quadratic function is $g(x)=(x - h)^2 + k$, where the vertex is $(h,k)$.

Step2: Identify the values of h and k

Given that the vertex of $g(x)$ is $(9,-8)$, we can directly compare the coordinates of the vertex with the values of $h$ and $k$ in the vertex - form. So, $h = 9$ and $k=-8$.

Answer:

$g(x)=(x - 9)^2+( - 8)$