Question

1. the function $f(x) = 4x^2$ represents which transformation?

a. shifted 4 units up
b. shifted 4 units left
c. vertical compression by 4
d. vertical stretch by 4

Explanation:

Step1: Identify parent function

Parent function is $g(x)=x^2$.

Step2: Compare to transformed function

Given $f(x)=4x^2=4\cdot g(x)$. For a function $a\cdot g(x)$ where $a>1$, this is a vertical stretch by factor $a$.

Answer:

d. Vertical stretch by 4