Question

>> IMPORTANT << This is homework that is due tomorrow, need help verifying my answers!
For the following questions, the parent function is y = x(x-1)(x+4). Describe the transformation that transforms the parent graph into the graph of each function.

1. y=3x(x-1)(x+4)


2. y=x(x/2-1)(x/2+4)
(For this question, x/2 is a fraction, and the -1 and +4 come after the fraction.)

Answer 1

For #1, I got "stretched vertically by a factor of 3". For #2, I got "stretched horizontally by a factor of 2". Please verify these answers

Answer 2

#1 is correct.
For #2, rewrite
f(x)=x(x-1)(x+4)
y=2(x/2)(x/2-1)(x/2+4)
=2f(x/2)
which tells us that there is a horizontal stretch factor of 2, AND a vertical stretch factor of 2.
Check using x=5,
y(5)=195/4
2f(5/2)=195/4

Answer 3

Alright. Thank you!