Conic Sections: Parabolas and Circles

The focus is always inside the parabola.

• true
• false

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

• true
• false

All parabolas with a vertical directrix open the left or right.

• true
• false

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

• True
• False

What direction does the parabola point?

• Up 
• Down
• Left 
• Right

(y-4)² = -8(x+1)
What direction does this parabola open?

• up
• down
• left
• right

(x+3)² = 4(y+5)
What is the equation of the directrix?

• x = 4
• x = 2
• y = -4
• y = -6

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

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

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

Tags

CCSS.HSG.GPE.A.1