Question

Question #37497

Answer 1

See explanation.

Explanation:

Begin with the graph of `f(x)=x^2`.

`g(x)` is created by a series of transformations to that graph.

`g(x)=-(x-4)^2+5`:

Take the graph of `f(x)` and shift it 4 units to the right to get a graph of `y=(x-4)^2`.

Now take your new graph and reflect it over the `x`-axis to get the graph of `y=-(x-4)^2`.

Take this new graph and shift it up 5 units to get the graph of `y=-(x-4)^2+5`, which is the graph of `g(x)`.