For the function g(x) we have:
- Maximum y = 5
- Vertex (-2, 5)
- Axis of symmetry: x = -2.
How to find the graph of g(x)?
The function g(x) is given by applying transformations to f(x), the transformations are:
- A reflection: g(x) = -f(x)
- A translation of 2 units to the left: g(x) = -f(x + 2)
- A translation of 5 units up: g(x) = -f(x + 2) + 5
The function is:
[tex]g(x) = -(x + 2)^2 + 5[/tex]
The graph is the one you can see below:
There you can see that the vertex is at (-2, 5), then the line of symmetry is:
x = -2.
And we have a maximum at the vertex, which is y = 5.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
