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describe the graph of the quadratic function f(x)=-4(x-8)^2+4 a. opens upward and has minimum value at (8,4) b. opens downward and has minimum value at (8,4) c. opens downward and has minimum value at (8,4) d. opens upward and has maximum value at (8,4)

User Syed Rehan
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The graph of the quadratic function f(x) = -4(x - 8)² + 4 opens downward and has maximum value at (8,4)

Describing the graph of the quadratic function

From the question, we have the following parameters that can be used in our computation:

f(x) = -4(x - 8)² + 4

A quadratic function is represented as

f(x) = a(x - h)² + k

Where

Leading coefficient = a

Vertex = (h, k)

By comparison, we have

Leading coefficient = -4

Vertex = (8, 4)

The leading coefficient is negative

This means that the function has a maximum at (8, 4) and it opens downward

User Pasindu Tennage
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