The quadratic equation is y = x^2 - x - 6
How to use the zero product property to create a quadratic equation?
The given parameters are
x-intercepts: x=-1 and x=3
Rewrite properly as
x1 = -2 and x2 = 3
By zero product property, the quadratic equation is
y = (x - x1) * (x - x1)
This gives
y = (x + 2) * (x - 3)
Expand
y = x^2 + 2x - 3x - 6
Evaluate the difference
y = x^2 - x - 6
Hence, the quadratic equation is y = x^2 - x - 6
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