Question

The axis of symmetry of a parabola is x=6, and one of the points on the parabola is (2,8). what is another point on the parabola. answers; a(2,2) b(2,14) c(-4,8) d(10,8)

Answer 1

Answer: (10, 8)

Explanation:

Because we are reflecting over an x-value, we must be the y-value the same in our answer, as it will not be affected by this reflection.

To find the x-value of the reflection, we need to first find what side of the axis our coordinate is. Since our coordinate x-value (2) is less than 6, we are on the left side.

We then find the distance from the axis (6 - 2 = 4) and add that value to the axis (6 + 4 = 10). The reason we are adding is because we want the reflection point on the right side. Say we were starting at 10 instead, we would subtract the axis from 10 (10 - 6 = 4) and then subtract that from the axis (6 - 4 = 2)

Since our x-value is 10, and our y-value never changed, our coordinate is (10, 8)

Hope this helped. Let me know if you need any more explanation.