Parabolas and Ellipses

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

• true
• false

What is the point inside the parabola 'p' units from the vertex?

• vertex
• focus
• directrix
• axis of symmetry

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Tags

CCSS.HSF-IF.C.7C

If given the equation 1/3(y+4) = (x + 5)² , what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

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 value of p is:

• 8
• -8
• 2
• -2

Which of the following is the correct equation for the given graph?

• y+1 = (x - 2)²

• y+1 = (x + 2)²

• -(y+1) = (x + 2)²

• -(y+1) = (x - 2)²

Tags

CCSS.HSF-IF.C.7A