Answer:
The graph of given function is shown below.
Step-by-step explanation:
The given function is
[tex]f(x)=-x^2+5[/tex] .... (1)
We need to find the graph of the function.
The vertex form of the quadratic function is
[tex]f(x)=a(x-h)^2+k[/tex] .... (2)
On comparing (1) and (2) we get
[tex]h=0,k=5[/tex]
It means the vertex of the function is (0,5).
The table of values is
x y
-2 1
-1 4
0 5
1 4
2 1
Plot all ordered pairs on a coordinate plane and connect them by a free hand curve.
The graph of given function is shown below.
