SOLUTION: list the vertex for each parabola modeled by these second-degree equations. Be sure to include both coordinates of the vertex in each response. y=3(x-5)^2-8

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: list the vertex for each parabola modeled by these second-degree equations. Be sure to include both coordinates of the vertex in each response. y=3(x-5)^2-8      Log On


   

Question 353347: list the vertex for each parabola modeled by these second-degree equations. Be sure to include both coordinates of the vertex in each response. y=3(x-5)^2-8
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
For an equation in the form
y+=+%281%2F4p%29%28x-h%29%5E2+%2B+k
the vertex is the point (h, k).
All we need to do to your equation
y=3%28x-5%29%5E2-8
to get it in the form above is to change the subtraction at the end to an equivalent addition:
y=3%28x-5%29%5E2+%2B+%28-8%29
Now we can read the vertex: (5, -8).