Completing of Square

Solve by completing the square. Write the answer as #+-square root.

x^2+4x-16=0

Mathematical Equivalence

ON

Mathematical Equivalence

OFF

• +2

• -2

• +4

• -4

• +8

• -8

• +20

• -20

• A
• B
• C
• D

• + 49

• - 49

• + 36

• - 36

• + 6

• - 6

• + 7

• - 7

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

What is the constant that should be added to the expression to complete the square: x² + 16x + ___

• 16

• 8

• 64

• 32

Complete the square and write the equation in Vertex Form: f(x) = x² + 16x + 64

• f(x) = (x - 8)²

• f(x) = (x+16)²

• f(x) = x² + 8

• f(x) = (x+8)²

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

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