"c" = ?
Given: x2 + 12x +c
Find the value of "c" that creates a perfect square
trinomial
"c" = (1/2)x 12= 6 ; 6^2 =36
(x+6)^2
Convert y= x2 - 8x +5 to vertex form by
completing the square
y = (x-4)^2 - 11
Convert y= x2 - 7x +5 to vertex form by
completing the square
Y-5 = x2 - 7x
y-5 + 49/4 = x2- 7x + 49/4
y+ 29/4 = (x-7/2)2
y = (x-7/2)2 - 29/4
Convert y = -2x2+3x- 7 to vertex form by completing the square
y + 7 = -2x2+3x
y+ 7 = -2(x2 - 3x/2 )
y+7-(18/16) = -2( x2-3x/2 +9/16)
y+112/16 -18/16 = -2(x-3x/4)2
y +47/8 = -2(x-3x/4)2
y = -2(x-3x/4)2 - 47/8
Convert y = 3x2 - 6x -8 to vertex form by completing the square
y+8 = 3x2-6x
y + 8 = 3(x2-2x)
y+8+3 = 3(x2-2x+1)
y+11 = 3(x-1)2
y = 3(x-1)2- 11
Given: x2 - 20x +c
Find the value of "c" that creates a perfect square
trinomial
(1/2) x (-20) = -10. ; (-10)^2 = 100
(x-10)^2
Convert y= x2 + 12x + 0 to vertex form by
completing the square
y = ( x+6)^2 - 36
Convert y = x2 +13x +1 to vertex form by completing the square
Y-1 = x2 +13x
y-1 + 169/4 = x2 +13x +169/4
y+165/4 = (x+13/2)2
y = (x+13/2)2 - 165/4
Convert y = 3x2+3x- 11 to vertex form by completing the square
y+11 = 3x2+3x
y+11 = 3(x2+x )
y+11+3/4 = 3(x2+x +1/4)
y+ 47/4 = 3(x+1/2)2
y = 3(x+1/2)2 - 47/4
Convert y = x2/3 + 4x to vertex form by completing the square
y+0 = x2/3 +4x
y =0 = 1/3( x2+12x)
y +0+12 = 1/3( x2+12x+36)
y+12 = 1/3(x+6)2
y = 1/3(x+6)2-12
Given: x2 + 11x +c
Find the value of "c" that creates a perfect square
trinomial
(1/2) x (11) = 11/2 ; (11/2)^2 = 121/4
(x+11/2)^2
Convert y= x2 - 16x - 20 to vertex form by
completing the square
y = (x-8)^2 -84
Convert y = x2 + x - 3. to vertex by completing the square
Y+3 = x2 +x
y+3+1/4 = x2+x + 1/4
y+ 13/4 = (x+1/2)2
y = (x+1/2)2 - 13/4
Convert y = -x2 -5x. to vertex form by completing the square
y+0 = -x2-5x
y+0 = -(x2+5x)
y-25/4 = -(x2 +5x +25/4)
y -25/4 = -(x+5x/2)2
y = -(x+5x/2)2 + 25/4
Convert y = -2x2 -12x+9 to vertex form by completing the square
y -9 = -2x2-12x
y-9= -2(x2+6x)
y-9-18 = -2(x2+6x+9)
y-27 = -2(x+3)2
y = -2(x+3)2+27
Given: x2 + (1/2)x +c
Find the value of "c" that creates a perfect square
trinomial
(1/2) x (1/2) = 1/4. ; (1/16)^2 = 1/16
(x+1/4)^2
Convert y= x2 +2x -19 to vertex form by
completing the square
y = (x+1)^2 - 20
Convert y = x2+5x - 9 to vertex by completing the square
Y+9 = x2 +5x
y+9 + 25/4 = x2 +5x +25/4
y+ 61/4 = (x+5/2)2
y = (x+5/2)2 - 61/4
Convert y = x2 /2 - 9x +4. to vertex form by completing the square
y - 4 = x2/2 - 9x
y - 4 = 1/2( x2 - 18x)
y - 4+81/2 = 1/2 (x2 - 18x + 81)
y +73/2 = 1/2(x-9)2
y = 1/2(x-9)2 - 73/2
Convert y = 10x2+20x -17 to vertex form by completing the square
y =17 = 10x2+20x
y+17 = 10(x2+2x)
y+17+10 = 10(x2+2x+1)
y+27 = 10(x+1)2
y= 10(x+1)2-27
Given: x2 -(2/5)x +c
Find the value of "c" that creates a perfect square
trinomial
(1/2) x (-2/5) = -1/5. ; (-1/5) ^2 = 1/25
(x-1/5)^2
Convert y= x2 +200x + 2500 to vertex form by
completing the square
(x+100)^2 - 7500
Convert. y = x2 - 15x -6. to vertex form by completing the square
Y+6 = x2 -15x
y+6 + 225/4 = x2- 15x + 225/4
y+ 249/4 = (x-15/2)2
y = (x-15/2)2 - 249/4
Convert y = -x2/2. + 7x -10 to vertex form by completing the square
y + 10 = -x2/2 +7x
y+10 = -1/2(x2 -14x)
y+10 - 49/2 = -1/2( x2-14x +49)
y - 29/2 = -1/2(x-7)2
y = -1/2(x-7)2 + 29/2
Convert y = -x2 - 8x +9 to vertex form by completing the square
y - 9 = -x2 - 8x
y-9 = -(x2+8x)
y-9 -16= -(x2+8x+16)
y-25 = -(x+4)2
y = -(x+4)2+25