NZ Level 8 (NZC) Level 3 (NCEA) [In development]
topic badge
Write Equations of Parabolas

Interactive practice questions

A parabola has its vertex at the origin. Its focus lies on the $y$y-axis, $4$4 units above the vertex.

State the equation of the parabola.

Easy
Approx 2 minutes
Sign up to try all questions

A parabola has its vertex at the origin. It has a focal length measuring $a=4$a=4 units, and its focus lies on the $x$x-axis.

State both possible equations of the parabola.

Find the equation of the parabola with a focus at $\left(0,3\right)$(0,3) and a vertex at the origin. Let $a$a represent the focal length if necessary.

Find the equation of the parabola with a focus at $\left(-6,0\right)$(6,0) and a vertex at the origin. Let $a$a represent the focal length if necessary.

Outcomes

M8-1

Apply the geometry of conic sections

91573

Apply the geometry of conic sections in solving problems

What is Mathspace

About Mathspace