Parabola and Complete the Square

What would you add to complete the square?

x ² + 18x + __________ = 19 + ___________

• 18

• 9

• 81

• 19

Tags

CCSS.HSA-REI.B.4B

Find the focus, and directrix of the parabola: x² = 28y

• Focus: (0,7) Directrix: y= -7

• Focus: (7,0) Directrix: y=7

• Focus: (0,-7) Directrix: x= -7

• Focus: (7, 0) Directrix: x=7

Find the focus, and directrix of the parabola: y² = - 32x

• Focus: (0,-8) Directrix: x= -8

• Focus: (0,-8) Directrix: y= 8

• Focus: (-8,0) Directrix: x = -8

• Focus: (-8,0) Directrix: x= 8

Write the following quadratic expression in completed square form... x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

Tags

CCSS.HSA-REI.B.4B

• A
• B
• C
• D

• 
• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Match the following. Which number completes the square for each quadratic.

• 36

• 81

• 25

• 100

• 4

Tags

CCSS.HSA-REI.B.4B

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

• - 196

• 49

• - 49

• 28

Tags

CCSS.HSA-REI.B.4B

Convert to vertex form: y = x² + 4x + 10

• y = (x + 4)² + 6

• y = (x + 2)² + 6

• y = (x + 4)² - 6

• y = (x + 2)² - 6