All Things Algebra

What is the constant that should be added to the expression to complete the square:

x² + 16x + ___

• 16

• 8

• 64

• 32

Tags

CCSS.HSA-REI.B.4B

Convert y = x² + 4x - 1 to vertex form using your chosen method.

• y = (x - 2)² + 5

• y = (x + 2)² - 5

• y = (x + 2)² - 1

• y = (x +2)² + 3

Fill in the blank: When we convert from standard to vertex form, the "a" value will ____________.

• Stay the same

• Be the same but negative

• Become the vertex

• Be squared

Convert the equation y = 8x² - 16x + 27 to vertex form by completing the square.

• y = 8(x + 1)² + 19

• y = -8(x - 1)² + 19

• y = 8(x - 1)² + 19

• y = (x - 1)² + 8

Convert the equation y = (x + 8)² + 7 to standard form using your chosen method.

• y = x² + 16x + 71

• y = x² + 8x + 71

• y = x² + 16x + 64

• y = x² + 15x + 7

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

• y = (x + 4)² - 4

• y = (x - 2)² + 4

• y = (x + 2)² - 4

• y = (x + 2)²

Convert the following to standard form:

f(x) = ⅔ (x + 3)²

• f(x) = ⅔x² + 4x + 6

• f(x) = ⅔x² + 6x + 9

• f(x) = ⅔x² + 6

• f(x) = ⅔x² + 2x + 4

Multiply using your chosen method and simplify:

(3x + 5)²

• 9x² + 25

• 9x² + 16x + 10

• 9x² + 30x + 25

• 9x² + 30x + 10

Tags

CCSS.HSA.APR.C.4

Convert the following to standard form:

f(x) = -4(x - 1)² +7

• f(x) = -4x² + 3

• f(x) = -4x² - 8x + 17

• f(x) = -4x² + 8x - 11

• f(x) = -4x² + 8x + 3

Write an equation in vertex form for a parabola with a vertex at (-2, -1). Then, change your equation to standard form.

• y = x² - 4x + 4

• y = x² - 4x + 4

• y = x² + 4x + 3

• y = x² - 4x + 3