The vertex of a parabola is ( 3, -1). One point on the parabola is ( 6, 8) , find another point on the parabola.

Step-by-step explanation:

If you plot the vertex and the point, you see that the point is above the vertex. Therefore, this is a positive parabola with the work form of

We have values for x, y, h, and k. Let's write the equation of the parabola, put it into function notation, then find another x value at which to evaluate it.

and

and

8 = 9a - 1 and

9 = 9a so

a = 1. The equation of the parabola in function notation is

Since the vertex is at (3, -1) it would make sense to evaluate the function at x values close to the vertex. Let's evaluate the function at an x value of 4:

and

and

f(4) = 0. That means that another point on this parabola will be (4, 0).

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