Equations of Parabolas, Part 1

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

Mathematical Equivalence

ON

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 (6,3) and a directrix at y=-2, state the location of the focus. Do not use spaces in your answer.

Given a parabola with a vertex at (5,-4) and a focus at (5,-10) state the equation for the directrix. Do not use spaces in your answer.

Label the parts of a parabola.

a

b

c

Vertex

Directrix

Focus

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

• vertex
• focus
• parabola

If the directrix is above the vertex the parabola opens ​ (a)   and if the directrix is below the vertex the parabola opens ​ (b)  

• down
• up
• left
• right