Parabola and circle Quiz 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

Change the following equation to standard form
x²+y²-4x+12y-8=0

• (x+2)²+(y-6)²=48
• (x-2)²+(y+6)²=48
• (x-6)²+(y-2)²=48
• (x+2)²+(y-6)²=48

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 = 6
• (x + 5)² + (y - 2)² = 36
• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1

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

• true
• false

The focus is always inside the parabola.

• true
• false

The 'p' value represents the distance between the vertex and the focus AND the vertex and the directrix.

• True
• False

The sign of the 'p' value determines if the graph opens upward or downward.

• True
• False

Tags

CCSS.HSF-IF.C.7A

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