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+20x+52

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+20x+52       Log On


   

Question 675757: 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+20x+52

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

f(x)=2x^2+20x+52 =2x^2+20x + 50  -50 +52 = 2(x+5)^2 - 50 + 52 = 2(x+5)^2 + 2 ,  V(-5,2)

the vertex form of a Parabola opening up(a>0) or down(a<0): y=a%28x-h%29%5E2+%2Bk 

where(h,k) is the vertex