CIrcles and Parabolas

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242
• 11
• 121
• 22

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1

In the equation
(x+2)²+(y+3)²=49, what is the center of the circle?

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

Tags

CCSS.HSG.GPE.A.1

Classify the conic section.

• Circle
• Ellipse
• Line
• None of these

Tags

CCSS.HSG.GPE.A.1

CCSS.HSG.GPE.A.3

What is the vertex of the parabola?

• (-3, -1)
• (3, 1)
• (1, 3)
• (-1, -3)

Tags

CCSS.HSG.GPE.A.2

Classify this conic:
x + 3 = (y  - 1)²

• Parabola Opens Up
• Parabola Opens Down
• Parabola Opens Right
• Parabola Opens Left

Tags

CCSS.HSA.REI.D.10

The focus is always inside the parabola.

• true
• false

Tags

CCSS.HSG.GPE.A.2

A parabola is the set of all points equidistant from the focus and the directrix.

• true
• false

Tags

CCSS.HSG.GPE.A.2

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

Tags

CCSS.HSG.GPE.A.2

Name the conic.

• Parabola

• Ellipse

• Circle

• Hyperbola