What is the equation of the quadratic function with roots -10 and -8 and a vertex at (-9, -3).

Question

whpalmer4 · Answer

a quadratic function is a polynomial with roots $r_1,r_2$ which can be written in the form $$P(x) = a(x-r_1)(x-r_2)$$

$a$ is a constant which can be chosen to make the quadratic pass through an arbitrary point.

You want a quadratic with roots $-10,-8$ and a vertex at $(-9,-3)$
Set $r_1 = -10$ and $r_2 = -8$, then put the point $(-9,-3)$ in the resulting equation and solve for the needed value of $a$.  When you have the value of $a$, rearrange the equation into whatever form you need.

triciaal · Answer

did you try what as suggested above?

zeronknight · Answer

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