Question

I need help with number 5 the same one that’s in black not blue

Answer 1

The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward.

The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry.

The function is given to be:

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

The graph of the function is shown below:

Since the graph opens downwards, the highest point is (0, 0). The image below shows the axis of symmetry and vertex:

Therefore, we have

`\begin{gathered} Vertex=(0,0) \\ Axis\text{ }of\text{ }symmetry\Rightarrow x=0 \end{gathered}`