Complete the Square and Vertex Form (Review)

If the Quadratic Equation  $x^2\ +\ 8x\ +\ 5\ =\ 0\$  is rewritten as  $\left(x\ -\ p\right)^2\ =\ q$ . What is the value of "p" and "q"

• p = 11 and q = -4

• p = 4 and q = 11

• p = -4 and q = 11

 If the quadratic equation $x^2-\ 8x\ -\ 33\ =\ 0\ \$  is rewritten in the form  $\left(x\ -\ p\right)^2\ =\ q$  . What is the Value of "q"?

• q = 49

• q = -17

• q = -49

• q = 4

Select all the Statements that are TRUE. 

  $y\ =\ -3\left(x\ +\ 2\right)^2\ +\ 5$  

• The Vertext is (-2, 5)

• There is a Minimum Value of 5

• There is a Maximum Value of 5

• The A.O.S is x = -2

Select all the statements that are TRUE. 

 $y\ =\ \left(x\ -\ 6\right)^2\ -\ 10$  

• The Vertext is (-6, -10)

• There is a Minimum Value of -10

• The A.O.S is x = 6

• The Vertex is (6, -10)

• There is a Maximum Value of -10 

Complete the square of the following quadratic equation determine the Vertex.

 $x^2\ +\ 14x\ -\ 15\ =\ 0$  

• Vertex = (7, 64)

• Vertex = (-7 , 64)

• Vertex = (-7, -64)

• Vertex = (7 - 64)

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

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Write the following quadratic expression in completed square form...

x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

Tags

CCSS.HSA-REI.B.4B

When writing the following Quadratic Equation  $x^2-\ 4x\ +\ 4\ =\ 20$   in the form

 $\left(x\ -\ p\right)^2\ =\ q$  

what goes in the blank? (x - __ )2 = 20

• 4

• 2

• 8

• 20

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7