the quadratic equation is:
y = 0.2*x*(x - 28)
How to find the quadratic equation?
If we know that the roots are J and K, and the leading coefficient is a, then the quadratic equation is:
y = a*(x - K)*(x - J)
Here we know that the roots are at x = 0 and x =28, then:
y = a*(x - 0)*(x - 28).
We also know that the vertex is a minimum, so a is positive, and we know that the vertex is (14, -40), then we have:
-40 = a*(14)*(14 - 24) = -a*196
a = 40/196 = 0.20
Then the quadratic equation is:
y = 0.2*x*(x - 28)
If you want to learn more about quadratic equations:
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