Conics Review

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4
• 2
• 3
• 16

Tags

CCSS.HSG.GPE.A.1

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

Tags

CCSS.HSG.GPE.A.1

What is the center of the ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

Tags

CCSS.HSG.GPE.A.1

What are the co-vertices of the ellipse?

• (1, 5) and (1, -5)
• (0, 0) and (2, 0)
• (4, 0) and (6, 0)
• (1, 6) and (1, 4)

Tags

CCSS.HSG.GPE.A.1

What are the vertices of the hyperbola? It is easier to get these if you sketch a graph of the hyperbola.

• (0, 3) and (0, -3)

• (-4, 3) and (-4, -3)

• (0, 1) and (0, -1)

• (4, 0) and (-4, 0)

What is the center of the following hyperbola?
 $\frac{\left(x-4\right)^2}{25}-\frac{\left(y+2\right)^2}{4}=1$  

• (5, 2)

• (0, 0)

• (4, -2)

• (25, 4)

Tags

CCSS.HSG.GPE.A.1

Write an equation for the circle graphed above.

• x² + y²= 4

• x² + y²= 2

• x² - y² = 4

• x² - y² = 2

 $\frac{x^2}{16}+\frac{y^2}{36}=1$  What are the vertices of this ellipse?

• (4,0) (-4,0)
  

• (6,0) (-6,0)
  

• (0,4) (0,-4)
  

• (0,6) (0,-6)
  

What is the minor axis of this ellipse?

• $\overline{GH}$

• $\overline{EF}$

• $\overline{IJ}$

• $\overline{GI}$