The function g(x) is g(x) = 4x² after applying the tansformation because the f(x) is the parent function option (A) is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
The options are:
A. g(x)=4x²
B. g(x)=16x²
C. g(x)=1/4x²
D. g(x)=(4x)²
It is given that:
f(x) = x²
From the graph as we can see the function f(x) is the parent function and g(x) is transformed function.
The function g(x):
g(x) = ax²
Plug x = 1
g(x) = 4
4 = 1²a
a = 4
g(x) = 4x²
Thus, the function g(x) is g(x) = 4x² after applying the tansformation because the f(x) is the parent function option (A) is correct.
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