Focus and Directrix of Parabolic Equations

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

• true
• false

Tags

CCSS.HSG.GPE.A.2

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

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

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.HSG.SRT.C.8

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

• true
• false

If the directrix is y = 4 and the focus is at 
(3, 0), the value of p is:

• 8
• -8
• 2
• -2

What is the vertex of the equation
y= (x-12)²+7 ?

• (1,7)
• (-12, 7)
• (7,12)
• (12, 7)

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

• true
• false

Find the vertex, focus, and directrix of the parabola: x² = 28y

• Vertex: (0, 0) Focus: (0,7) Directrix: y=-7
• Vertex: (0, 0) Focus: (7,0) Directrix: y=7
• Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7
• Vertex: (0, 0) Focus: (7, 0) Directrix: x=7