If you know the vertex and one other point on a parabola, you can find its quadratic

Chapter 9, Problem 5

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If you know the vertex and one other point on a parabola, you can find its quadratic equation. The vertex (h, k) of this parabola is (2, 31.5), and the other point is (5, 0). a. Substitute the values for h and k into the equation y = a(x h)2 + k. b. To find the value of a, substitute 5 for x and 0 for y. Then solve for a. c. Use the a-value you found in 5b to write the equation of the graph in vertex form. d. Use what you learned in 5ac to write the equation of the graph whose vertex is (2, 32) and that passes through the point (5, 14).