Question

Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2).

Answer 1

start with
\[y=a(x-6)(x-10)\] then find \(a\) be replacing \(x\) by \(8\) and \(y\) by \(2\)

Answer 2

so 2=a(8-6)(8-10)

Answer 3

yes

Answer 4

and isn't that 2=a(2)(-2)

Answer 5

yes

Answer 6

so what is \(a\) ?

Answer 7

well 2=a(-4) so a= -1/2?

Answer 8

yes

Answer 9

Oh ok, so how would I rewrite the equation?

Answer 10

\[y=-\frac{1}{2}(x-6)(x-10)\] and then multiply out
i would multiply \((x-6)(x-10)\) first, then divide each coefficient by \(-2\)

Answer 11

Thank you!

Answer 12

yw