Question

What is the quadratic function that is created with roots -3 and 1 and a vertex at (-1, -8)?

Answer 1

wanna guess?

Answer 2

ok i guess not
then start with
\[y=a(x+3)(x-1)\] put \(x=-1,y=-8\) and solve
\[-8=a(-1+3)(-1-1)\] for \(a\)

Answer 3

okay so a=2

Answer 4

yea i think so

Answer 5

-8=2(-1+3)(-1-1)

Answer 6

matter of fact i am sure of it
we can do it a different way if you like

Answer 7

you got it, \(a=2\) and you have
\[y=2(x+3)(x-1)\]

Answer 8

yay! thanks so much again