Vertex of Parabola

About this exercise

The turning point of a parabola.

Example problems

A few of the problems this exercise asks. The printable worksheet holds ten fresh ones.

  1. Vertex of: y = -x² − 6x − 8
  2. Vertex of: y = x² + 2x + 6
  3. Vertex of: y = x² − 4x + 2
  4. Vertex of: y = -2x² − 12x − 19

Try it yourself first — open a section below only if you get stuck.

How to solve it

The x coordinate is minus b divided by twice a. Substitute it back to find the y coordinate.

Worked example

For x squared - 4x + 3, the vertex sits at x = 2, where y = -1.

Common mistake

Forgetting the minus sign in the formula. It flips the vertex to the wrong side.