Convert Standard to Vertex Form by Completing the Square

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 + 6x + 5

• (x + 3)² - 4

• (x + 6)² - 4

• (x + 3x)² - 4

• (x + 3)² + 9

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

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

• 12

• 36

• 24

• 6

Complete the square and write the equation in Vertex Form: f(x) = x² + 10x + 25

• f(x) = (x - 5)²

• f(x) = (x + 10)² 

• f(x) = (x+5)²

• f(x) = x² - 5

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

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

• 16

• 8

• 64

• 32

Using Vertex Form, f(x) = a(x - h)²+ k, how do you write the equation for the Axis of Symmetry?

• x = h

• y = k

• x = a

• y = h

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