Question

the graph shown is a translation of the graph of $f(x)=x^{2}$. write the function in vertex form.
$g(x)=\square$
(type your answer in vertex form.)

Explanation:

Step1: Recall vertex form

Vertex form: $f(x) = a(x-h)^2 + k$, where $(h,k)$ is vertex.

Step2: Identify vertex from graph

Vertex $(h,k) = (6,4)$

Step3: Determine stretch factor $a$

Parent function is $f(x)=x^2$, so $a=1$.

Step4: Substitute values into vertex form

$f(x) = 1(x-6)^2 + 4$

Answer:

$f(x)=(x-6)^2 + 4$