Focus of a Parabola

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

The vertex is halfway between the focus and directrix.

• true

• false

When x is squared, the parabola opens up or down.

• True

• False

Find the equation of the parabola with Focus at (- 2,- 1) and Vertex (0, - 1).

Given the graph, what is the equation of the parabola?

Find the equation of the parabola with a vertex at (2, -3) and a focus at (2, -5).

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

• true

• false

Tags

CCSS.HSG.GPE.A.2

How do we define a parabola using its focus and directrix?

• A parabola is the set of all points that are the same distance from a single point, called the focus of the parabola, and a line, called the directrix of a parabola.

• A parabola is the set of all points that have a greater y value than a single point, called the focus of the parabola, and a lesser x value than a single point, called the directrix of the parabola.

• A parabola is a circle with a center point called the focus of the parabola, and a line from the center of the circle to the circle called the directrix of the parabola.

• A parabola is a square in which the center of the square is called the focus of the parabola, and the length of one side of the square is called the directrix of the parabola.

What is the focus of the parabola (y-5)^2=12(x-2)?

What is the vertex and focus of the parabola (y-2)^2=-16(x-3)?

• Vertex: (-3, -2) Focus: (-3, 14)

• Vertex: (-3, -2) Focus: (-3, -18)

• Vertex: (3, 2) Focus: (-1, -2)

• Vertex: (3, 2) Focus: (-1, 2)