Parabola

Determine if the following equations will be narrow or wide, upward facing or downward facing.

• Upward facing, narrow

• Downward facing, narrow

• Upward facing, wide

• Downward facing, wide

Answer explanation

a value = -.05

Tags

CCSS.HSF-IF.C.7A

Determine if the following equations will be narrow or wide, upward facing or downward facing.

• Upward facing, narrow

• Downward facing, narrow

• Upward facing, wide

• Downward facing, wide

Answer explanation

a value = +.75

Tags

CCSS.HSF-IF.C.7A

Determine if the following equations will be narrow or wide, upward facing or downward facing.

• Upward facing, narrow

• Downward facing, narrow

• Upward facing, wide

• Downward facing, wide

Answer explanation

a value = +9

Tags

CCSS.HSF-IF.C.7A

Find the vertex:

• (-9, -3)

• (9,3)

• (-9,3)

• (9,-3)

Answer explanation

(h,k)

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.

If the focus of a parabola is (0, –3) and its directrix is y = 3, then its equation is

• x² = –12y

• x² = 12y

• y²= 12 x

• y²= -12 x

Tags

CCSS.HSG.GPE.A.2

What is the equation of this parabola?

• x² = -3y

• y² = 12x

• x² = -12y

• y² = 3x

What is the directrix of this parabola?

• x = -3

• y = -3

• x = 3

• y = 3

Find the coordinate of the vertex on the parabola
State the answer in coordinate form.

What is the standard equation of a parabola that opens right and whose vertex is at the origin?