Circles + Parabolas 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)

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

• 4
• 2
• 3
• 16

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

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

• True
• False

The vertex, (h, k), is halfway between the focus and the directrix.

• true
• false

(y-4)² = -8(x+1)
What are the coordinates for the focus?

• (1,4)
• (-1,6)
• (-1,2)
• (-3,4)

(y-4)² = -8(x+1)
What are the coordinates 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