SOLUTION: I have to write each function in vertex form. 1. y= x^2 + 4x 2. y = 2x^2 + 8x + 3 3. y = -2x^2 -8x 4. y = -x^2 + 4x + 4 5. y = x^2 -4x -4 6. y = x^2 + 5

Algebra ->  College  -> Linear Algebra -> SOLUTION: I have to write each function in vertex form. 1. y= x^2 + 4x 2. y = 2x^2 + 8x + 3 3. y = -2x^2 -8x 4. y = -x^2 + 4x + 4 5. y = x^2 -4x -4 6. y = x^2 + 5      Log On


   

Question 451848: I have to write each function in vertex form.
1. y= x^2 + 4x
2. y = 2x^2 + 8x + 3
3. y = -2x^2 -8x
4. y = -x^2 + 4x + 4
5. y = x^2 -4x -4
6. y = x^2 + 5x
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

write each function in vertex form by completing the square:

  the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

1. y= x^2 + 4x  = (x+2)^2 - 4                  

2. y = 2x^2 + 8x + 3 = 2(x+2)^2 -8 + 3 = 2(x+2)^2 - 5

3. y = -2x^2 -8x = -2(x+2)^2 + 8

4. y = -x^2 + 4x + 4 = -(x-2)^2 + 4 + 4 = x(x-2)^2 + 8

5. y = x^2 -4x -4 = (x-2)^2-4-4 = (x-2)^2 -8

6. y = x^2 + 5x = (x+5/2)^2 - 25/4