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Write a quadratic function f whose zeros are 2 and -12.

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The quadratic function f with zeros at 2 and -12 can be written in factored form as follows:

f(x) = a(x - 2)(x + 12)

To find the value of "a" in the equation, we can use a point on the graph of the quadratic function. Let's say we know that f(0) = 36.

Substituting x = 0 and f(x) = 36 into the equation, we get:

36 = a(0 - 2)(0 + 12)

36 = a(-2)(12)

36 = a(-24)

a = -36/24

a = -3/2

Now we can write the quadratic function f(x) with the given zeros:

f(x) = (-3/2)(x - 2)(x + 12)

This function will have zeros at x = 2 and x =-12.

User Strike Eagle
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