Complete the Square and Vertex Form

Convert the quadratic equation y = x^2 - 2x + 5 into vertex form.

Beth complete the square using the Slide Over Method (Method TWO) her work is shown. Fill in the missing blank. x^2 + 8x + 5 = 0 (x^2 + 8x + 16) 5 _______ = 0

• + 16

• - 16

• + 8

• - 8

Jim completed the square using the Slide Over Method (Method TWO) his work is shown. Fill in the missing blank(s).Hint: remember your factored out a "5".
5x² - 30x + 32 = 0
5(x² - 6x + ____ ) +32 ____ = 0

• + 9 and - 9

• + 9 and + 9

• +9 and - 45

• + 9 and + 45

Jim completed the square using the Slide Over Method (Method TWO) his work is shown. Fill in the missing blank(s).Hint: remember your factored out a "2".
2x² - 8x - 9 = 0
2(x² - 4x + 4 ) -9 _______ = 0
2(x - ______)² = 17

• -4 and 2

• +4 and 2

• -8 and 2

• +8 and 2

• p = 11 and q = -4

• p = 4 and q = 11

• p = -4 and q = 11

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Determine the vertex of the parabola

y= 5(x - 2)² – 7

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Ryan completed the square using the Slide Over Method (Method TWO) his work is shown. Fill in the missing blank(s).

• ADD+1 and ADD + 1

• ADD +1 and Subtract -1

• ADD +2 and ADD +2

• ADD +2 and Subtract -2

Convert to vertex form.
y = 3x² +6x - 5

• y=3(x+1)² - 8

• y=3(x-1) ² - 8

• y=3(x+2)² - 8

• y=3(x-2)² - 8

Convert the equation y= 5x² - 40x + 67 into vertex form.

• y= -5(x + 4)² + 13

• y= 5(x + 4)² - 13

• y=5(x - 4)² - 13

• y= 5(x - 13)² + 4