The vertex of the parabola below is at the point (3,2) and the point (4,6) is on the parabola. what is the equation of the parabola?

Step-by-step explanation:

The vertex form of a parabola:

(h, k) - vertex

We have the vertex at (3, 2) → h = 3 and k = 2.

Substitute:

The point (4, 6) is on athe parabola. Put the coordinates of this point to the equation:

      subtract 2 from both sides

Finally:

         vertex form

use (a - b)² = a² - 2ab + b²

         use the distributive property

            standard form

step-by-step explanation:

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