Find two points on the graph of the parabola other than the vertex and x-intercepts.

Question

Find two points on the graph of the parabola other than the vertex and x-intercepts.

k(x)=(x−1)2−9

Answer 1

k(x) = (x − 1)² − 9

Pick any random values for x and fill them into the function to get the k(x) values.

I will pick x = 8 and x = –3.

k(x) = (x − 1)² − 9

k(8) = (8 – 1)² – 9

k(8) = 7² – 9

k(8) = 49 – 9

k(8) = 40

So one point on the parabola is (8,40).

k(x) = (x − 1)² − 9

k(–3) = (–3 – 1)² – 9

k(–3) = (–4)² – 9

k(–3) = 16 – 9

k(–3) = 7

A second point on the parabola is (–3,7).

There are an infinite number of points on the parabola and an infinite number of points not on the parabola. I have given you two points that are on the parabola.

Best to you!