Question

Use the transformations of the graph of f(x)=x^2 to determine the graph of the given function.

Answer 1

Given:

`h(x)=-(x-4)^2`

Let's use the transformations of the graph f(x) = x² to determine the function.

We have the transformation:

`f(x)=x^2\Longrightarrow g(x)=-(x-4)^2`

Simplify the transformed function:

`g(x)=-(x-4)^2`

Here, the following transformation occured:

• A horizontal translation right 4 units

,

• A reflection over the x-axis

Therefore, the graph of the function is below: