SOLUTION: find the vertex of the parabola represented by each equation. 1) y=2x^-6x+6 2) y=3x^+4x=5

Algebra ->  Rational-functions -> SOLUTION: find the vertex of the parabola represented by each equation. 1) y=2x^-6x+6 2) y=3x^+4x=5      Log On


   



Question 138797: find the vertex of the parabola represented by each equation.
1) y=2x^-6x+6
2) y=3x^+4x=5

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

find the vertex of the parabola represented by each equation.
1) y=2x%5E2-6x%2B6

The vertex of the parabola whose equation is y=Ax%5E2%2BBx%2BC is

(-B%2F%282A%29, -D%2F%284A%29)

where D = the discriminant B%5E2-4AC

For y=2x%5E2-6x%2B6,

A=2, B=-6, C=6 

D+=+B%5E2-4AC+=+%28-6%29%5E2-4%282%29%286%29+=+36-48+=+-12

So vertex = (-B%2F%282A%29, +-D%2F%284A%29+ ) = (-%28-6%29%2F%282%282%29%29, -%28-12%29%2F%284%282%29%29) = (6%2F4, 12%2F8) = (3%2F2, 3%2F2)

2) y=3x%5E2%2B4x=5

You mistyped that one because it should not have two equal signs. But it's 
done the same way.

If the second equal sign was supposed to have been a +, then 

vertex = (-2%2F3,11%2F3)

If the second equal sign was supposed to have been a -, then 

vertex = (-2%2F3,-19%2F3)

Edwin