Question

If you apply the changes below to the linear parent function, F(x)=x, what is the equation of the new function? vertically compress by 1/4 flip over the y-axis

Answer 1

Answer:

Equation of the new function becomes f(x) = $-\frac{x}{4}$

Step-by-step explanation:

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

The first transformation applied on this f(x) is 'vertical compression by 1/4' i.e. f(x) becomes $\frac{f(x)}{4}$.

This transformation shrinks the graph of f(x) towards x-axis.

Now, the next transformation applied to $\frac{f(x)}{4}$ is 'a flip over the y-axis' i.e. 'reflection over y-axis'

i.e. $\frac{f(x)}{4}$ becomes $-\frac{f(x)}{4}$

This transformation takes the mirror image of the function over y-axis.

Hence, the equation of the new function becomes f(x) = $-\frac{x}{4}$ and the final graph is shown below.

Answer 2

Answer: G(x)=-1/4x

Step-by-step explanation: