Question

Need help in algebra fast

Answer 1

A. The y-intercepts are the same.

B. function
`3f(x)` has a greater rate of change.

Explanation:

We have
`f(x)=x`

Let
`g(x)=3*f(x)`

Then
`g(x)=3x`

The y-intercept of
`f(x)=x` is 0

The y-intercept of
`g(x)=3x` is also 0

Therefore the y-intercepts are the same.

The rate of change of
`f(x)=x` is 1

The rate of change of
`g(x)=3x` is 3

Hence the function
`3f(x)` has a greater rate of change.

The two functions are not parallel because they have different rate of change.

f(x) translated 3 units up is f(x)+3. This is not the same as 3x