Circle Equation and Parabola

• Hyperbola

• Ellipse

• Circle

• Parabola

Tags

CCSS.HSG.GPE.A.1

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

Which of the following is the length of the diameter of the circle whose equation is shown below? 
2x²+2y²-20x+24y=166

• 12

• 24

• 6

• 10

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

If the directrix is y = 4 and the focus is at 
(3, 0), the equation of the parabola is:

• y = (-1/8)(x - 3)² + 2

• x = (-1/8)(y - 2)² + 3

• y = (1/8)(x - 3)² + 2

• x = (1/8)(y - 2)² + 3

Find the standard form of the equation of the parabola whose focus (0, 4) and a directrix y=-4.

• y = (1/16)x²

• y² = 4x

• y² = 16x

• y = (1/4)x²

Tags

CCSS.HSG.GPE.A.2

Find the vertex, focus, and directrix of the parabola: x² = 28y

• Vertex: (0, 0) Focus: (0,7) Directrix: y=-7

• Vertex: (0, 0) Focus: (7,0) Directrix: y=7

• Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7

• Vertex: (0, 0) Focus: (7, 0) Directrix: x=7

6x² + 6y² – 3x + 4y = 0

• Circle

• Parabola

• Hyperbola

• Ellipse

Identify the conic:  6y² – 5x – 2y + 5 = 0

• Parabola

• Circle

• Hyperbola

• Ellipse