Question

Identify the parent function that can be used to graph the function f(x)= -9(x+5)2

Answer 1

Answer:

The parent function that can be used to graph $f(x)=-9(x+5)^2$ is:

$f(x)=x^2$

Step-by-step explanation:

We are asked to find the parent function that can be used to graph the function f(x) which is given as:

$f(x)=-9(x+5)^2$

We know that from the given options the parent function that best represents the relationship or that can be used to graph the function f(x) is:

$f(x)=x^2$

since the function $f(x)=-9(x+5)^2$ is just a transformation of the parent function the transformation that is applied is a combination of a dilation with a scale factor '-9' and a translation '-5' units to the left and a reflection along 'x' axis.

Hence, the parent function is:

$f(x)=x^2$