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

Step-by-step explanation:

We have been given the equation of the linear parent function as: .  

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:

, where a is the factor of stretching.

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

Now we will flip or reflect our function over x-axis by the rule: 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:

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

where are the choices?