Completing the Square and Vertex Form

Which equation has a vertex at (-8, 12)?

• y=-8(x - 12)² + 4

• y=-(x + 8)² + 12

• y=12(x - 8)² + 12

• y=8(x + 12)² + 8

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4

• y = (x+3)² - 4

• y = (x-3)² + 4

• y = 2(x - 3)² + 4

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Convert the equation y= x²-2x-5 into vertex form. 

• y= (x-1)²-6

• y= -(x-1)²-6

• y= (x+1)²-6

• y= -(x+6)²-1

Complete the Square
x² - 12x

• (x + 6)² + 12

• (x - 6)² - 24

• (x - 6)² - 12

• (x - 6)² - 36

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Create a Perfect Square Trinomial
x² + 18x + ____

• 81

• -18

• 9

• -9

Convert the equation from vertex form to standard form.

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1