anonymous
  • anonymous
What is the quadratic function that is created with roots -3 and 1 and a vertex at (-1, -8)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Plug the vertex and one of the roots into the standard form, then solve for the missing variable.
anonymous
  • anonymous
I have done it several times and I am not getting the right equation.
anonymous
  • anonymous
Hm, what do you get when you substitute the vertex in?

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anonymous
  • anonymous
I tried it a few different ways and once I got the final equation as f(x)=4x^2-8x+12 and another time I got f(x)=2x^2+2x-6 neither are right when I check the graph.
anonymous
  • anonymous
@ig0p0g0
anonymous
  • anonymous
Try y=a(x-h)^2 +k, where h,k is the vertex. What do you get when you plug in the vertex?
anonymous
  • anonymous
y=a(x-(-1))^2 + -8?
anonymous
  • anonymous
Yep...probably the easiest next step is to plug in one of the roots. What do you get?
anonymous
  • anonymous
y=a(-1 - (-1))^2 +8?
anonymous
  • anonymous
What's the value of y if that's a root?
anonymous
  • anonymous
the other root?
anonymous
  • anonymous
Think about...what does it mean for something to be a root?
anonymous
  • anonymous
where it hits the line on the x axis
anonymous
  • anonymous
@ig0p0g0
anonymous
  • anonymous
Yes! What's the y value there?
anonymous
  • anonymous
-8? @ig0p0g0
anonymous
  • anonymous
The y value of a point on the x axis....
anonymous
  • anonymous
....any point on the x axis...
anonymous
  • anonymous
ok any one at all
anonymous
  • anonymous
(4,0) is on the x-axis. (4,3) is not. There's something you know about any point on the x-axis.
anonymous
  • anonymous
no y valuee
anonymous
  • anonymous
well, zero for y.
anonymous
  • anonymous
So go back to this... y=a(-1 - (-1))^2 +8? and plug in zero for y.
anonymous
  • anonymous
0=a(-1 - (-1))^2 +8
anonymous
  • anonymous
OK, what's a?
anonymous
  • anonymous
Ooo...something's wrong there...
anonymous
  • anonymous
Oh, the root is 1, not -1
anonymous
  • anonymous
So you want 0=a(1 - (-1))^2 +8
anonymous
  • anonymous
Gotta go but you're almost done.

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