SOLUTION: What is the vertex of a parabola? How do you determine the vertex of the parabola? Demonstrate with an example.

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Question 332261: What is the vertex of a parabola?
How do you determine the vertex of the parabola?
Demonstrate with an example.

Answer by jrfrunner(365)   (Show Source): You can put this solution on YOUR website!
the equation for a parabola: y=
The vertex is at x=, y=
--
this can be found from the quadratic solutions are
x= and
x=
--
The center is at value x= and then substituting this x value in the parabola equation to find y
--
Try it: for parabola Y=
x= = -8/4=-2
y= = (4*2*11-8^2)/(4*2) = 24/8=3
---
if you complete the square for Y=
y= for which it is easy to see that the vertex is (-2,3)

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