Question

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

Answer 1

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