Parabolas

Write an equation of the parabola with the given characteristics:

Focus: (3, 5)

Vertex: (3, -1)

If a parabola has a focus at (0,3) and a vertex at the origin...what is the equation of the directrix?

• y=3

• y=-3

• x=3

• x=-3

The focus is always inside the parabola.

• true
• false

The vertex, (h, k), is halfway between the focus and the directrix.

• true
• false

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

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

Given the graph, what is the equation of the parabola?

Given the graph, what is the equation of the parabola?

Find the equation of the parabola with a vertex at (2, -3) and a focus at (2, -5).