Answer:
The parent function that can be used to graph [tex]f(x)=-9(x+5)^2[/tex] is:
[tex]f(x)=x^2[/tex]
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:
[tex]f(x)=-9(x+5)^2[/tex]
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:
[tex]f(x)=x^2[/tex]
since the function [tex]f(x)=-9(x+5)^2[/tex] 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:
[tex]f(x)=x^2[/tex]
