Question

You jump off a diving board that is 5 feet off the ground. Your max height is 15 feet high after traveling 5 feet outward. Find the equation that models your dive in vertex form. Please help.

Answer 1

• y = -0.4(x - 5)² + 15

Explanation:

Vertex form:

• y = a(x - h)² + k, where (h, k) is the coordinates of the vertex

As per question, the vertex is (5, 15) and the graph has a point (0, 5).

Since (h, k) is known as (5, 15) let's work out the value of a:

• 5 = a(0 - 5)² + 15
• 5 = 25a + 15
• 25a = - 10
• a = -10/25 = -0.4

The equation is:

• y = -0.4(x - 5)² + 15