The roots of the quadratic function describing the relationship between number of products produced and overall profit margin ar

Question

2 years ago

8

e x=0 and 28. The vertex is a minimum at (14,−40).

1 answer:

tia_tia [17] · Answer 1 · 2023-05-03T16:27:04+03:00

the quadratic equation is:

y = 0.2*x*(x - 28)

<h3>How to find the quadratic equation?</h3>

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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