Question

How do you find other points on the parabola x^2 + 5x - 24 = 0 using the graph? Find at least three points on each side of the parabola.

Answer 1

ANSWER

• To the ,left, of the vertex: ,(-9, 12), (-7, -10), (-5, -24)

,

• To the ,right, of the vertex:, (4, 12), (2, -10), (0, -24)

,

•

EXPLANATION

First, we have to graph the parabola,

We have to select three points on each side of the axis of symmetry. We can do so by selecting three x-values on each side of the vertex and drawing a vertical line to intersect the parabola. Then, we will draw another line but horizontally, to intersect the y-axis. This way we will get both coordinates of each point.

Hence, three arbitrary points on each side of the vertex are:

• To the left of the vertex: ,(-9, 12), (-7, -10), (-5, -24)

,

• To the right of the vertex: ,(4, 12), (2, -10), (0, -24)