Question

Which graph represents the function f(x)=-x2+5?

Answer 1

The graph of given function is shown below.

Explanation:

The given function is

`f(x)=-x^2+5` .... (1)

We need to find the graph of the function.

The vertex form of the quadratic function is

`f(x)=a(x-h)^2+k` .... (2)

On comparing (1) and (2) we get

`h=0,k=5`

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.