Question

PLEASE HELP ASAP!!!!

Answer 1

The equation of the quadratic function f(x) is f(x) = (x + 4)(x - 2)

How to determine the equation of f(x)?

From the question, we have the following parameters:

Roots = -4 and 2

Point = (1, -5)

Rewrite the given parameters as

Roots: x = -4 and x = 2

Point: (x, y) = (1, -5)

Recall that:

x = -4 and x = 2

This gives

x + 4 = 0 and x - 2 = 0

Multiply the equations

So, we have

y = a(x + 4)(x - 2)

When (x, y) = (1, -5), we have

-5 = a(1 + 4)(1 - 2)

This gives

a = 1

Substitute a = 1 in y = a(x + 4)(x - 2)

y = (x + 4)(x - 2)

Hence, the equation of f(x) = (x + 4)(x - 2)

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