Focus/Directrix

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

• true
• false

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

• True
• False

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

• 8
• -8
• 2
• -2

Find the standard form of the equation of the parabola with focus (0, 4) and a directrix y=-4.

• y² = 4x
• y² = 16x

Tags

CCSS.HSG.GPE.A.2

The mini formula we use to find the value of P is ___________.

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.SSE.A.1

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

• true
• false

Tags

CCSS.HSG.GPE.A.2

• Vertex: (0, 0) Focus: (-20,0) Directrix: x = 10
• Vertex: (0, 0) Focus: (0,10) Directrix: y=10
• Vertex: (0, 0) Focus: (0,10) Directrix: y=-10
• Vertex: (0, 0) Focus: (0, -10) Directrix: y = 10

Tags

CCSS.HSG.GPE.A.2

Find the vertex of the parabola if the focus is at (2,4) and the directrix is at y=2

• (2,3)

• (1,4)

• (3,4)

• (2,5)