Question

If you apply the changes below to the linear parent function, f(x)=x, what is the equation of the new function. Vertically stretch by a Factor of four and flips over the X axis

Answer 1

Answer:g(x)=-4x

Explanation:

this answer works for g(x) too

Answer 2

`f(x)=-4x`

Explanation:

We have been given the equation of the linear parent function as:
`f(x)=x`.

We are asked to write an equation of the new function that is vertically stretched by a factor of 4 and flips over the x-axis.

Rule for vertical stretching of a function is:

`a\cdot f(x)`, where a is the factor of stretching.

After stretching our parent function by a factor of 4 our new function will be:

`4*f(x)=4*x`

Now we will flip or reflect our function over x-axis by the rule:
`f(x)=-f(x)` as reflecting a function over x-axis, its x-coordinate remains same but y-coordinates become negative.

After flipping our function over x-axis our new function will be:

`f(x)=-4x`

Therefore, after a vertical stretching by a Factor of 4 and flipping over the x-axis, our new function will be
`f(x)=-4x`.