Answer
multiple answers; see details
Work Step by Step
The standard form of the equation $
y=-x^2+4x+10
$ is
\begin{array}{l}
x^2-4x=-y+10\\\\
x^2-4x+4=-y+10+4\\\\
(x-2)^2=-y+14\\\\
(x-2)^2=-(y-14)
.\end{array}
The graph of this equation is a $\text{
parabola
}$ with the following properties:
\begin{array}{l}
\text{Vertex: }(
2,14
),\\\\\text{Opening:
down
}.\end{array}
Using the properties above, the graph of the equation is given below.
