Conics Quiz

Which graph corresponds to 
(x)²+ (y-6)²=9

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1

Find the equation of the figure shown.

• (x-5)² + (y-3)² = 25
• (x+5)²/4 + (y+3)²/9 = 1
• (x-5)²/2 + (y-3)²/3 = 1
• (x-5)²/4 + (y-3)²/9 = 1

Tags

CCSS.HSG.GPE.A.1

Write the standard form of the circle: 
x² + y² +10y = 39 

• x² + (y+5)² = 49
• x² + (y+5)² = 64
• (x+5)² + y² = 61
• (x+5)² + y² = 100

Tags

CCSS.HSG.GPE.A.1

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x + 5)² + (y - 2)² = 144

• (x + 5)² + (y - 2)² = 36

• (x + 5)² + (y - 2)² = 6

Tags

CCSS.HSG.GPE.A.1

Classify the conic:  $4x^2-8x+4y-8=0$  

• Parabola

• Circle

• Ellipse

• Hyperbola

(y-4)² = -8(x+1)

What is the coordinate for the focus?

• (1,4)

• (-1,6)

• (-1,2)

• (-3,4)

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

• x = 4
• x = 2
• y = -4
• y = -6

Tags

CCSS.HSG.GPE.A.2

What are the vertices of the hyperbola?

• (0, 3) and (0, -3)
• (-4, 3) and (-4, -3)
• (0, 1) and (0, -1)
• (4, 0) and (-4, 0)

Tags

CCSS.HSG.GPE.A.3

Write the equation in standard graphing form.  $y^2-6y+12x-3=0$  

•  $\left(y-6\right)^2=-12\left(x-1\right)$  

•  $\left(y-3\right)^2=-12\left(x+1\right)$  

•  $\left(y-3\right)^2=-12\left(x-1\right)$  

•  $\left(y-6\right)^2=12\left(x+1\right)$  

Find the equation of the figure shown.

• (x-1)²/16 - (y+2)²/4 = 1
• (x+1)²/16 - (y-2)²/4 = 1
• (y+2)²/4 - (x-1)²/16 = 1
• (x-1)²/4 - (y+2)²/2 = 1

Tags

CCSS.HSG.GPE.A.3