Question

Toolkit Function: ()=2Transformation Description: Shift up 2. Reflect over the y-axis.What is the equation for the transformed function?

Answer 1

`f\left(x\right)=2^(-x)+2`

Step-by-step explanation

Given the parent function:

`f(x)=2^x`

As the first transformation is a shift up, then it is having an impact on the y-axis, which means that we have to add two to the function as follows (if it were a shift down we would have to subtract):

`h(x)=2^x+2`

Next, reflecting over the y axis is to negate the value of the x-coordinate of each point, thus:

`g(x)=2^(-x)+2`

Below we can see the transformations: