Question

The function g(x) is a transformation of the quadratic parent function, f(x) =2. What function is g(x)?5f(x)5g(x)O A. g() = {x?O B. g(x) = -122C. g(x) = 4x2O D. g(x) = -4x2

Answer 1

we have that

the aprent function

f(x)=x^2

g(x) is a reflection over x -axis of the parent function with a vertical dilation

so

g(x)=-ax^2

Find the value of the leading coefficient a

looking at the graph

For x=1

the value of g(x) is -4

therefore

the answer is the option g(x)=-4x^2