Completing the Square and Vertex Form

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

Tags

CCSS.HSA-REI.B.4B

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

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

In Vertex form, f(x) = a(x - h)²+ k, what does the h stand for?

• the y-coordinate of the vertex

• the x-coordinate of the vertex

• the x-intercept

• the y-intercept

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Tags

CCSS.HSA-REI.B.4B

What is the constant that should be added to the expression to complete the square:  x² + 12x + ___ 

• 12

• 36

• 24

• 6

Tags

CCSS.HSA-REI.B.4B

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

• Standard Form

• Vertex Form

• Intercept Form

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= 5x² - 40x + 67 into vertex form.

• y= -5(x + 4)² + 13

• y= 5(x + 4)² - 13

• y=5(x - 4)² - 13

• y= 5(x - 13)² + 4