Question

The function g(x) is a transformation of the quadratic parent function, f(x) = X2. What function is g(x)? 1 1 if(x) -5 5 g(x) O A. g(x) = 3x2 O B. g(x) =-3x2 O C. g(L) = -522 O D. g(x) = 5x2

Answer 1

In this problem we have that

the transformations are

a vertical dilation of the parent function

the rule is

(x,y) ------> (x,ay)

with a scale factor a

and

a reflection across the x-axis

the rule is

(x,y) -------> (x, -y)

therefore

the function g(x) is equal to

g(x)=-ax^2

Find the value of a

Looking at the graph