Completing the Square and Factoring Practice

Convert to vertex form.

• y=3(x+1)² - 8

• y=3(x-1) ² - 8

• y=3(x+2)² - 8

• y=3(x-2)² - 8

Convert to vertex form.

• y=4(x+4)² - 62

• y=4(x-4)² - 62

• y=4(x-8)² - 62

• y=4(x+8)² - 62

Convert to vertex form.

• y=1/2(x-4)² - 29

• y=1/2(x+4)² - 29

• y=1/2(x+8)² - 29

• y=1/2(x-8)² - 29

Convert to vertex form.

• y=-2(x+12)² - 67

• y=-2(x-12)² - 67

• y=-2(x-6)² - 67

• y=-2(x+6)² - 67

Solve the following quadratics equation by completing the square (a)  

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

The quadratic shown is going to be solved by completing the square, the first step is shown Problem: x² + 6x + ​ (a)   = ​ (b)   What are the missing values?

• 9

• 14

• 6

• 5

• -6

• -9

• 3

• 8

• 12

Match the following quadratic equations with the correct step when completing the square.

Solve by completing the square. Write the answer as #+-square root.

3x^2+36x-15=0

Mathematical Equivalence

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