Question

3. A parabola has an axis of symmetry x = -4 and passes through the point (2, -1). Find another point that lies on thegraph of the parabola. (Literally graph what you know to help you)Your answer

Answer 1

In the next picture, we can see the line x = -4 and the point (2, -1)

Given that the line is the axis of symmetry, then a point at the same distance of (2, -1) and the same y-coordinate must be located a the other side of the line. That point is (-10,1)

The distance between (2,1) and x = -4 is 6

The distance between (-10,1) and x = -4 is also 6

Then, (-10,1) is another point that lies on the graph of the parabola.