Question

Use the graph of the parabola to fill in the table.

Answer 1

Looking at the graph, we can say that:

- It opens downward and has a maximum of 0.

- The axis of symmetry passes through the vertex (the maximum value in this case). So, the x-coordinate of the vertex is 4, and the axis of symmetry is:

`x=4`

- We conclude that the coordinates of the vertex are:

`\text{Vertex }=(4,0)`

- The x-intercepts are defined as those points whose y-coordinate is 0. Similarly, the y-intercepts are those points of x-coordinate equal to 0. Looking at the graph, the vertex itself is the x-intercept, and y = -8 is the y-intercept.

`\begin{gathered} x-intercept\colon4 \\ y-intercept\colon-8 \end{gathered}`