Vertex and Axis of Symmetry Math Example 4

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Example 4

medium
Is the vertex of y=−2(x−3)2+10y = -2(x-3)^2 + 10 a maximum or minimum?

Solution

  1. 1
    a=−2<0a = -2 < 0: parabola opens downward.
  2. 2
    Vertex (3,10)(3, 10) is the highest point—it is a maximum.

Answer

Maximum at (3,10)(3, 10).
When a<0a < 0, the vertex is a maximum. When a>0a > 0, it is a minimum.

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 3 easy

Find the axis of symmetry of [formula].

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