3.5 Vertex Form/Completing the Square

Complete the square for

x² - 12x + ____

• 144

• 36

• - 36

• 24

Tags

CCSS.HSA-REI.B.4B

Complete the square.

x² + 6x + ____

• 9

• 12

• 36

• - 9

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Complete the square.
x² + 14x + ____

• x² + 14x - 196
• x² + 14x + 49
• x² + 14x - 49
• x² + 14x + 196

Tags

CCSS.HSA-REI.B.4B

Complete the Square
x² + 10x + ____

• x² + 10x - 100
• x² + 10x + 100
• x² + 10x - 25
• x² + 10x + 25

Tags

CCSS.HSA-REI.B.4B

Given the perfect square trinomial, identify the factored form.

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: x² - 30x + 225

• (x + 15)²
• (x - 15)²
• (x + 25)²
• (x - 25)²

Tags

CCSS.HSA.APR.C.4

Complete the square and write the equation in Vertex Form:
f(x) = x² + 10x + 25

• f(x) = (x - 5)²
• f(x) = (x + 10)² 
• f(x) = (x+5)²
• f(x) = x² - 5

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Complete the Square and write in Vertex Form:

f(x) = x² + 6x + 5

• f(x) = (x + 3)² - 4

• f(x) = (x + 6)² - 4

• f(x) = (x + 9)² - 4

• f(x) = (x + 3)² + 9

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Complete the square and write in Vertex Form 
f(x) = x² + 4x + 9

• f(x) = (x+2)² + 5
• f(x) = (x - 2)² + 5
• f(x) = (x+4)² + 5
• f(x) = (x+2)² - 5

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Complete the square and write in Vertex Form: $y\ =\ x^2\ -\ 2x\ -\ 5$ 

•  $y\ =\ \left(x\ -\ 1\right)^2\ -\ 6$  

•  $y\ =\ \left(x\ -\ 1\right)^2\ -\ 5$  

•  $y\ =\ \left(x\ +\ 1\right)^2\ -\ 6$  

•  $y\ =\ \left(x\ +\ 2\right)^2\ -\ 6$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3