Forms of Quadratic Functions

Forms of Quadratic Equations

​Day 2

Multiple Choice

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

Multiple Choice

Rewrite the quadratic function in vertex form by completing the square. $$y=2x^2+12x+30$$  

• $$y=2\left(x-3\right)^2+9$$  

• $$y=2\left(x+3\right)^2-6$$  

• $$y=2\left(x+3\right)^2+12$$  

• $$y=2\left(x+3\right)^2+21$$  

Multiple Choice

Convert f(x) = 4x² - 32x + 2 to vertex form.

• f(x) = 4(x + 4)² - 62

• f(x) = 4(x - 4)² - 62

• f(x) = 4(x - 8)² - 62

• f(x) = 4(x + 8)² - 62

Multiple Choice

Convert to vertex form: f(x)= 5x²+40x+77.

• f(x) = 5(x+4)² - 3

• f(x) = 4(x-4)² - 5

• f(x) = 5(x+4)² +3

• f(x) = 5(x-4)² + 157

Multiple Choice

What is the vertex form of the 

factored form function below:

$$f\left(x\right)=\left(x-4\right)\left(x+12\right)$$  

• $$f\left(x\right)=\left(x-4\right)^2+12$$  

• $$f\left(x\right)=\left(x+4\right)^2$$  

• $$f\left(x\right)=\left(x+4\right)^2-64$$  

• $$f\left(x\right)=\left(x+4\right)-64$$  

Multiple Choice

What is the vertex form of the function below:

$$f\left(x\right)=\left(x-4\right)\left(x+12\right)$$  

• y =(x+4)² - 64

• y = (x + 4)² 64

• y = (x +8)² + 16

• y = (x -8)² + 16

Multiple Choice

Find vertex form of the equation below.

$$f\left(x\right)=5\left(x-14\right)\left(x+8\right)$$  

• y= 5(x-3)² +11

• y = 5(x-3)² +605

• y = 5(x-3)² +121

• y= ( x -3)² + 5