Conic Sections Parabola

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

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

• true

• false

Tags

CCSS.HSG.GPE.A.2

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 focus is always inside the parabola.

• true

• false

Given a parabola with a vertex of (4,0) and a focus of (4,-1) write the equation of the parabola.

Mathematical Equivalence

ON

Given a parabola with a vertex at (4,3) and a directrix of y=1, write the equation of the parabola.

Mathematical Equivalence

ON

In a parabola, "p" tells you the distance from the ​ (a)   to the ​ (b)   and ​ (c)  

• vertex

• focus

• directrix

• origin

• parabola

• axis

In a vertical parabola, which coordinate changes from the vertex to the focus?

Mathematical Equivalence

ON

In a horizontal parabola, which coordinate changes from the vertex to the focus?

Mathematical Equivalence

ON

In the equation of a parabola, d is the distance from the ​ (a)   to the ​ (b)   .

• vertex

• focus

• parabola