SOLUTION: 1. how do I write the quadratic function in the form y=a(x-h)^2+k for this problem: y=2x^2+20x+84 ????

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 1. how do I write the quadratic function in the form y=a(x-h)^2+k for this problem: y=2x^2+20x+84 ????       Log On


   

Question 364993: 1. how do I write the quadratic function in the form y=a(x-h)^2+k for this problem:
y=2x^2+20x+84 ????

Found 2 solutions by Fombitz, amoresroy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square.
y=2x%5E2%2B20x%2B84
y=2%28x%5E2%2B10x%29%2B84
y=2%28x%5E2%2B10x%2B25%29%2B84-2%2825%29
y=2%28x%2B5%29%5E2%2B84-50
highlight%28y=2%28x%2B5%29%5E2%2B34%29

Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
1. how do I write the quadratic function in the form y=a(x-h)^2+k for this problem:
y=2x^2+20x+84
y=2(x^2+10x+42)
y=2(x^2+10x+25)+34
Y=2(x+5)^2 +34
the quadratic function in the form y=a(x-h)^2+k for this
Y=2(x-(-5)^2 +34
where a = 2
h = -5
k = 34