Given:
[tex]h(x)=-(x-4)^2[/tex]
Let's use the transformations of the graph f(x) = x² to determine the function.
We have the transformation:
[tex]f(x)=x^2\Longrightarrow g(x)=-(x-4)^2[/tex]
Simplify the transformed function:
[tex]g(x)=-(x-4)^2[/tex]
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:
