Vertex and Axis of Symmetry Math Example 3

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Example 3

easy
Find the axis of symmetry of y=3x2−12x+5y = 3x^2 - 12x + 5.

Solution

  1. 1
    x=−−122(3)=126=2x = -\frac{-12}{2(3)} = \frac{12}{6} = 2.
  2. 2
    Axis of symmetry: x=2x = 2.

Answer

x=2x = 2
Apply the formula x=−b2ax = -\frac{b}{2a} directly from the coefficients of the standard form.

About Vertex and Axis of Symmetry

The vertex of a parabola is the point where it reaches its maximum or minimum value. The axis of symmetry is the vertical line that passes through the vertex, dividing the parabola into two mirror-image halves.

Learn more about Vertex and Axis of Symmetry →

More Vertex and Axis of Symmetry Examples

Example 1 easy

Find the vertex and axis of symmetry of [formula].

Example 2 medium

If [formula] and the axis of symmetry is [formula], find [formula].

Example 4 medium

Is the vertex of [formula] a maximum or minimum?

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