Conic Sections Parabolas

What is the directrix of this parabola?

• y = -6

• x = -2/3

• y = 3/2

• x = 4

These are figures that formed by intersecting two inverted cones and a plane.

• Cross Sections

• Conic Sections

• Circles

• Parabolas

• Hyperbola

• Ellipse

• Circle

• Parabola

Conics are special curves and are classified into four types. What are those?

• Ellipse

• Cone

• Parabola

• Hyperbola

• Circle

Find the vertex, focus, and directrix of the parabola: x² = 28y

• Vertex: (0, 0) Focus: (0,7) Directrix: y=-7

• Vertex: (0, 0) Focus: (7,0) Directrix: y=7

• Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7

• Vertex: (0, 0) Focus: (7, 0) Directrix: x=7

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)

Which of the following is the correct equation for the given graph?

• (x - 2)² = (y + 1)

• (x + 2)² = (y + 1)

• (x + 2)² = -(y + 1)

• (x - 2)² = -(y + 1)

Which of the following is the correct equation for the given graph?

• (x + 2)² = (y + 1)

• (x - 2)² = (y + 1)

• (x + 2)2 = -(y + 1)

• (x - 2)2 = -(y + 1)

What is the equation of this parabola?

• (y-1)² = -4(x-3)

• (y-1)²= 4(x+3)

• (y+1)² = 4(x-3)

• (y+1)² = -4(x+3)

Identify the correct graph.

• A

• B

• C

• D