Question

The graph of the function f(x)=−|2x| is translated 4 units down.

What is the equation of the transformed function?


g(x)=________

Answer 1

`g(x)=-\left | 2x \right |-4`

Explanation:

The parent function is given as

`f(x)=-\left | 2x \right |`

during transformation , the graph is pulled down by 4 units, hence the value of y is decreased by 4 units

Hence

For new function

`g(x)=f(x)-4\\f(x)=-\left | 2x \right |`

Hence

`g(x)=-\left | 2x \right |-4`

please refer to the image attached in this regard