Question

Graph the parabola.y=x +10x +30Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-functionbuttonХ5?

Answer 1

The given equation is:

$\begin{gathered} y=x^2+10x+30 \\ y=(x^2+10x+25)+5 \\ y-5=(x+5)^2 \end{gathered}$

Hence the vertex of the parabola is at (-5,5)

Two points on the right of the parabola are (-4,6),(-3,9) and on the left are (-6,6),(-7,9).

The graph is shown below: