Question

What transformation was not done to the linear parent function, f(x)=x, to get the function g(x)=-3(x-4)-7

Answer 1

Answer: D. Horizontal stretch by a factor of 3.

Step-by-step explanation:

Below are some transformations for a function $f(x)$:

If $f(x)-k$, then it is shifted "k" units down.

If $f(x-k)$, then it is shifted rigth"k" units.

If $-f(x)$, then it is reflected across the x-axis.

If $cf(x)$ and $c>1$, then it is stretched vertically by a factor of "c".

If $f(cx)$ and $0$, then it is stretched horizontally by a factor of $\frac{1}{c}$.

Based on this, the transformations done to the function $f(x)=x$  to get the function $g(x)=-3(x-4)-7$ are:

- It is shifted 7 units down.

- It is shifted rigth 4 units.

- It is reflected over the x-axis.

- It is vertically stretched by a factor of 3.

Therefore, the transformations that was not done to the function $f(x)=x$  to get the function $g(x)=-3(x-4)-7$ is:

Horizontal stretch by a factor of 3.