Complete the Square - Vertex Form

Which of the following equations shows the vertex form of a quadratic?

• y = mx + b

• y = a(x - p)(x - q)

• y = ax² + bx + c

• y = a(x - h)² + k

Find the missing value "c" to create a perfect square trinomial:
x² – 8x  + ___ 

• -4
• 16
• 4
• 8

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve by completing the square.

k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve by completing the square.

9x² + 18x - 5 = 0

• x= (3 ± i√14)∕3

• x= (3 ± √14)∕3

• x= (−3 ± √14)∕3

• x= (−3 ± i√14)∕3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Convert to vertex form.

y = x² + 6x - 5

• y = (x + 3)² -5

• y = (x + 6)² - 9

• y = (x + 3)² -14

• y = (x + 6)² - 14

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8