Question

The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located at (9, –8). What are the values of h and k?

g(x) = (x – )2 +

Answer 1

`g(x) = (x - 9)^2-8`

Explanation:

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)

We are given with vertex that is the value of h and k

`(9,-8)` where
`h=9` and
`k=-8`

`g(x) = (x - h)^2+k`

Replace h and k values

`g(x) = (x - 9)^2-8`

Answer 2

`\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\ -------------------------------\\\\ \stackrel{\textit{its vertex is at 9, -8}}{g(x)=(x-\stackrel{h}{9})^2\stackrel{k}{-8}}\qquad \qquad \begin{cases} h=9\\ k=-8 \end{cases}`