SOLUTION: Write the quadratic function in the form f(x)=+a(x-h)^2+k . Then, give the vertex of its graph. f(x)=−2x^2+12x-20 any help greatly appreciated.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write the quadratic function in the form f(x)=+a(x-h)^2+k . Then, give the vertex of its graph. f(x)=−2x^2+12x-20 any help greatly appreciated.      Log On


   

Question 939735: Write the quadratic function in the form
f(x)=+a(x-h)^2+k
.
Then, give the vertex of its graph.
f(x)=−2x^2+12x-20

any help greatly appreciated.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write the quadratic function in the form
f(x)=+a(x-h)^2+k (vertex form of equation for a parabola)
Then, give the vertex of its graph.
f(x)=−2x^2+12x-20
***
−2x^2+12x-20
complete the square:
f(x)=-2(x^2-6x+9)-20+18
f(x)=-2(x-3)^2-2
This is an equation of a parabola that opens down with vertex at (3,-2)