Circle and Parabola Practice

True or False? When the x-part is squared (is in front), the parabola opens up or down.

• True
• False

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

• (x+3)² + (y+4)² = 3

• (x-3)² + (y-4)² = 3

• (x+3)² + (y+4)² = 9

• (x-3)² + (y-4)² = 9

The radius is....

• a line that goes through the circle

• the center point of a circle 
• a line from the center point to the edge of the circle
• an element in science

The focus is always inside the parabola.

• true
• false

Tags

CCSS.HSG.GPE.A.2

What is the vertex of this graph?

• (2, 2)

• y=-3

• (2, 1)

• y=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)

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

• 4
• 2
• 3
• 16

Circle Problem:

Change the following equation to standard form by completing the square:

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

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

• True
• False

Tags

CCSS.HSG.GPE.A.2

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

• True
• False

Tags

CCSS.HSF.IF.C.7