Parabola and Complete the Square

(x+3)² = 4(y+5)
What is the equation of the directrix?

• x = 4

• x = 2

• y = -4

• y = -6

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

• y² = 24(x+4)

• (y+4)² = -12x

• x² = 16(y+4)

• (x+4)²  = -20y

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

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 14x + ____

• x² + 14x - 196

• x² + 14x + 49

• x² + 14x - 49

• x² + 14x + 196

Tags

CCSS.HSA-REI.B.4B

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)

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

What is the green dashed line called?

• roots or x-intercepts

• parabola

• Axis of symmetry / Line of symmetry

• line of dashes

Tags

CCSS.HSF-IF.C.7A