Graphing Conics

Given this directrix and vertex, what would the equation of the parabola be?

• (y-2)² = 12(x-1)

• (y-2)² = 6(x-1)

• (x-1)² = 12(y-2)

• (x-1)² = 6(y-2)

Based on the graph, what is the standard equation of the parabola?

How can you tell if a parabola opens to the left/right simply by looking at the equation?

• All parabolas open upwards.

• All parabolas open downwards.

• The sign of "4a" tells you the direction of the opening.

• It is impossible to determine simply by looking at the equation.

What is the directrix of the parabola
(y - 4)² = 8(x + 3)?

• y = - 5

• x = 5

• x = - 5

• y = 5

How wide will this parabola be?

• 12

• 3

• 6

• 24

Which direction does this parabola open?

• Up

• Down

• Left

• Right

Given the equation of the parabola, where would the VERTEX be? (put in standard form)

• ( 3 , 3)

• (24, 3)

• ( - 24, 3)

• (-3, 3)

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

Which type of conic section is this equation?

• circle

• ellipse

• hyperbola

• parabola

What is the directrix of the parabola
(x - 4)² = 8(y + 3)?

• y = - 3

• x= 5

• y= - 5

• y= 2