Standard to Vertex by Completing the Square

Complete the Square and write in Vertex Form:
f(x) = x² + 6x + 5

• (x + 3)² - 4
• (x + 6)² - 4
• (x + 3x)² - 4
• (x + 3)² + 9

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

When going from the Perfect Square Trinomial to the Square of a binomial,

x² - 4x + 4 = 20,

what goes in the blank?

(x - __ )² = 20

• 4

• 2

• 8

• 20

Complete the square for

x² + 3x + ____

• x² + 3x + 9

• x² + 3x + (3/2)²

• x² + 3x - 9/2

• x² + +3x - 9/4

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

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

Find the missing value "c" to create a perfect square trinomial:
x² + 26x + ___ 

• 13
• 136
• 169
• 26

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

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)

Complete the Square

y = x² - 5x

• y = (x + 5/2)² + 10

• y = (x - 5)² - 25/4

• y = (x - 5/2)² - (5)²

• y = (x - 5/2)² - 25/4

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

Tags

CCSS.HSF-IF.C.7A