Focus & Directrix with Vertex (0,0)

The focus is a _____ that always lies _______ your parabola.

The directrix is a _______ that always lies ________ your parabola.

The vertex, (h, k), is halfway between 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

If a parabola has a focus at (0,3) and a vertex at the origin...what is the equation of the directrix?

• y=3

• y=-3

• x=3

• x=-3

If a parabola has a focus at (0,-3) and a vertex at the origin...what is the equation of the directrix?

• y=3

• y=-3

• x=3

• x=-3

Does y = -4x² have a maximum or minimum value?

• maximum
• minimum

Tags

CCSS.HSF-IF.C.7A

Which of the following is standard form of a quadratic equation?

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

• p = 36

• p = 9

• p = 4

Tags

CCSS.HSA.REI.B.4

A parabola with the vertex at the origin opens down and has a directrix of y = 3, what is the focus?

• (0, - 3)

• (-3, 0)

• (3, 0)

• (0, 3)

Tags

CCSS.HSG.GPE.A.2