Question

Given the parent function f(x)=x^2 give the best description of the graph of y=x^3+3. a. expanded vertically by a factor of 5 c. expanded horizontally by a factor of 5 b. expanded vertically by a factor of 10 d. expanded horizontally by a factor of 10

Answer 1

Answer: 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

Step-by-step explanation: