New 10 Week Test Due 11/10

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 + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9

Tags

CCSS.HSA-REI.B.4B

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

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

Write in standard form,  $x^2-4y^2+10x+32y-75=0$  

•  $\frac{\left(y-4\right)^2}{36}-\frac{\left(x+5\right)^2}{9}=1$  

•  $\frac{\left(y-4\right)^2}{9}-\frac{\left(x+5\right)^2}{36}=1$  

•  $\frac{\left(y-4\right)^2}{9}-\frac{\left(x-5\right)^2}{36}=1$  

•  $\frac{\left(x+5\right)^2}{36}-\frac{\left(y-4\right)^2}{9}=1$  

What is the value of a² for the given hyperbola?

• 1
• 5
• 25
• 16

Tags

CCSS.HSG.GPE.A.3

What are the equations of the asymptotes of the hyperbola in the picture?

• y = x and y = –x

• y = 2x and y = –2x

• y = ¹/₂x and y = –¹/₂x

• y = 2x and y = 4x

Find the equation of hyperbola.

• $\frac{(x-2)^2}{16}-\frac{(y+3)^2}{20}=1$

• $\frac{(x+3)^2}{16}-\frac{(y-2)}{20}=1$

• $\frac{(x-2)^2}{20}-\frac{(y+3)^2}{16}=1$

• $\frac{(y+3)^2}{16}-\frac{(x-2)^2}{20}=1$

What is the center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

Tags

CCSS.HSG.GPE.A.3