Games
Problems
Go Pro!

# Parabola System of Equations

Pro Problems > Math > Geometry > Analytic Geometry > Parabolas

## Parabola System of Equations

An upward-opening parabola passes through the points (0, 2), (-4, 6) and (12, 14). What is the equation of the parabola?

Presentation mode
Problem by Mr. Twitchell

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Assign this problem
Click here to assign this problem to your students.

## Similar Problems

### Cutting the Parabola

A parabola's equation is given by 2ny = x2 - 6x + m.  Segment AB is a horizontal line segment whose endpoints lie on the parabola, and which contains the point (0,14). The segment has length 24. If the parabola also contains the point (0,
11
4
), find the complete equation of the parabola.

# Featured Games on This Site

Match color, font, and letter in this strategy game
Mastermind variation, with words

# Blogs on This Site

Reviews and book lists - books we love!
The site administrator fields questions from visitors.
Like us on Facebook to get updates about new resources