Quadratic Vertex Form Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
What is the vertex of f(x)=2(x−3)2+1f(x) = 2(x - 3)^2 + 1?

Solution

  1. 1
    Vertex form is a(x−h)2+ka(x - h)^2 + k with vertex (h,k)(h, k).
  2. 2
    Here h=3h = 3 and k=1k = 1.
  3. 3
    The vertex is (3,1)(3, 1).

Answer

(3,1)(3, 1)
In vertex form, the vertex coordinates are read directly: hh is the value subtracted from xx, and kk is the constant added.

About Quadratic Vertex Form

A quadratic written as f(x)=a(x−h)2+kf(x) = a(x - h)^2 + k, where the vertex (h,k)(h, k) is directly readable from the formula.

Learn more about Quadratic Vertex Form →

More Quadratic Vertex Form Examples

Example 2 medium

Write the vertex form of a parabola with vertex [formula] passing through [formula].

Example 3 easy

What is the vertex of [formula]?

Example 4 hard

Convert [formula] to vertex form.

← All Quadratic Vertex Form Examples Quadratic Vertex Form Concept