Question

If you vertically stretch the linear parent function, F(x) = x, by multiplying by 3, what is the equation of the new function?

Answer 1

f(x)=3x. X multiplied by 3 is 3x.

Answer 2

The new function is
`g(x)=3x`

Explanation:

We are given the function
`f(x)=x`.

Now, the function f(x) is vertically stretched by a factor of 3.

We know that,

Vertical stretch changes the function f(x) by
`kf(x)`, where k is any constant.

So, we get that,

The vertically stretched function is
`g(x)=3f(x)` i.e.
`g(x)=3x`.

Hence, the equation of the new function is
`g(x)=3x`.