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

Answer:

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

Step-by-step 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 $g(x)=3x$.

Answer 2

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