Question

Given the parent function f(x)=x^2 describe the graph of y=(0.2x)^2

a. expanded vertically by a factor of 5

c. expanded vertically by a factor of 10

b. expanded horizontally by a factor of 5

d. expanded horizontally by a factor of 10

Answer 1

b. expanded horizontally by a factor of 5

Explanation:

Answer 2

We have the following function:
f (x) = x ^ 2
We have the following transformation:
Expansions and horizontal compressions
The graph of y = f (bx):
If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b.
Applying the transformation:
y = (0.2x) ^ 2
The factor is:
1 / b = 1 / 0.2 = 5
Answer:
b. expanded horizontally by a factor of 5