Question

I need to graph it and i can use 2 points only please help noo

Answer 1

Plotting the graph by selecting the two points using the parabola tool.

Step-by-step explanation:

Given the function;

`h(x)=-x^2+3`

To find the vertex, it is the lowest or the highest point on the parabola.

`\begin{gathered} At\text{ the vertex h'(x)=0} \\ h^(\prime)(x)=-2x=0 \\ -2x=0 \\ x=0 \end{gathered}`

So, the vertex will be at x=0;

`\begin{gathered} h(0)=-0^2+3 \\ h(0)=3 \\ (0,3) \end{gathered}`

We can then identify one other point on the parabola;

`\begin{gathered} at\text{ x=3} \\ h(x)=-x^2+3 \\ h(3)=-(3)^2+3 \\ h(3)=-9+3 \\ h(3)=-6 \\ (3,-6) \end{gathered}`

Plotting the graph by selecting the two points using the parabola tool.