Completing the Square

What constant term needs to be added to complete the square for: x² + 12x + ____

• 144

• 36

• - 36

• - 144

Tags

CCSS.HSA-REI.B.4B

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142

• f(x) = (x + 6)² - 34

• f(x) = (x + 6)² - 38

• f(x) = (x + 6)² + 34

Convert the equation y= x²+4x into vertex form. 

• y= (x+4)²-4

• y= (x-2)²+4

• y= (x+2)²-4

• y= (x+2)²

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15

• f(x) = (x - 4)² + 17

• f(x) = (x - 4)² - 17

• f(x) = (x - 4)² + 65

Convert the equation
x²-12x+40
into vertex form

• (x+6)²-4

• (x+6)²+4

• (x-6)²-4

• (x-6)²+4

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1

• y = (x - 3)² + 1

• y = (x + 6)² - 10

• y = (x - 6)² + 10

Write the following quadratic expression is in vertex form by completing the square.

x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

Factor the perfect square trinomial.

x² - 18x + 81

• (x - 18)²

• (x - 9)²

• (x + 81)²

• (x + 9)²

Tags

CCSS.HSA.APR.C.4

Solve the following quadratics equation by completing the square...

x² + 12x + 8= 0

• x = -6 ± 2√7

• x = 6 ± 2√7

• x = 28 ± √6

• x = -28 ± √6

Tags

CCSS.HSA-REI.B.4B

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

• 4

• 16

• 64

• -16

Tags

CCSS.HSA-REI.B.4B