SOLUTION: Rewrite the quadratic functions in the form y=a(x-h)^2+k and identify a,h, and k 1. y=2x^2-4x+3 2. y=x^2+8x 3. y+x^2+4x+2 4. y= x^2+8x+16 5. y=3x^2-6x+1

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Question 779193: Rewrite the quadratic functions in the form y=a(x-h)^2+k and identify a,h, and k
1. y=2x^2-4x+3
2. y=x^2+8x
3. y+x^2+4x+2
4. y= x^2+8x+16
5. y=3x^2-6x+1

Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
This is all about "completing the square"...
.
Rewrite the quadratic functions in the form y=a(x-h)^2+k and identify a,h, and k
1.
y=2x^2-4x+3
y=(2x^2-4x)+3
y=2(x^2-2x)+3
y=2(x^2-2x+1)+3 -2
y=2(x-1)^2+1
a is 2
h is 1
k is 1
.
2.
y=x^2+8x
y=(x^2+8x)
y=(x^2+8x+16)-16
y=(x+4)^2-16
a is 1
h is -4
k is -16
.
3.
y=x^2+4x+2
y=(x^2+4x)+2
y=(x^2+4x+4)+2-4
y=(x+2)^2-2
a is 1
h is -2
k is -2
.
4.
y= x^2+8x+16
y= (x^2+8x)+16
y= (x^2+8x+16)+16-16
y= (x+4)^2
a is 1
h is -4
k is 0
.
5.
y=3x^2-6x+1
y=(3x^2-6x)+1
y=3(x^2-2x)+1
y=3(x^2-2x+1)+1-3
y=3(x+1)^2-2
a is 3
h is -1
k is -2