Smart Math guide · Advanced Math Ideas

Read a Quadratic in Vertex Form

In y=a(x−h)²+k, the vertex is (h,k) and a controls opening and vertical scale.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Identify h and k carefully from the signs.
  2. Use a to determine whether the parabola opens up or down.
  3. Plug in x=h to confirm y=k.
Worked example

See it in action

y=2(x−3)²−5 has vertex (3,−5).

Check your thinking

How to verify it

At x=3, y=−5.