Equations of Parabolas, Test

Given a vertex of (4,1) and a focus of (4,3) write the equation of the parabola.

Mathematical Equivalence

ON

Given a vertex of (4,1) and a directrix of y=6 write the equation of the parabola.

Mathematical Equivalence

ON

Given a focus of (4,-1) and a directrix of y=3, write the equation of the parabola.

Mathematical Equivalence

ON

Given a directrix of x=2 and a vertex of (4,1) write the equation of the parabola.

Mathematical Equivalence

ON

Given a vertex of (5,0), for the parabola to open up the focus would be at ____

• (5,2)

• (5,-2)

• (3,0)

• (7,0)

Given a vertex of (5,0), for the parabola to open down the focus would be at ____

• (5,2)

• (5,-2)

• (3,0)

• (7,0)

Given a vertex of (5,0), for the parabola to open left the focus would be at ____

• (5,2)

• (5,-2)

• (3,0)

• (7,0)

Given a vertex of (5,0), for the parabola to open right the focus would be at ____

• (5,2)

• (5,-2)

• (3,0)

• (7,0)

Match the opening direction given each focus, F, and directrix, d:.

• down

• F(3,4)

  d: x=1

• right

• F(3,4)

  d: y=6

• left

• F(3,4)

  d: x=4

• up

• F(3,4)

  d: y=2