Question

Find a possible formula for the quadratic function with

a vertex of (8,9) and y-intercept -64.
NOTE: Enter your answer exactly.

Answer 1

• y = (-73/64)(x - 8)² + 9

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Use the vertex form of a quadratic equation:

• y = a(x - h)² + k, where (h, k) is the vertex and a is a constant.

Given the vertex (8,9), we have:

• y = a(x - 8)² + 9

The y-intercept is -64. This means that when x = 0, y = -64.

Plugging in these values:

• -64 = a(0 - 8)² + 9
• -64 = a(-8)² + 9
• -64 = 64a + 9
• -73 = 64a
• a = -73/64

So, the possible formula for the quadratic function is:

• y = (-73/64)(x - 8)² + 9