Quadratic Factored Form Math Example 4

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Example 4

medium
Find the axis of symmetry of f(x)=(x−1)(x−7)f(x) = (x - 1)(x - 7).

Solution

  1. 1
    Zeros are x=1x = 1 and x=7x = 7.
  2. 2
    Axis of symmetry is the midpoint: x=1+72=4x = \frac{1 + 7}{2} = 4.

Answer

x=4x = 4
The axis of symmetry is always halfway between the two zeros (the average of the roots).

About Quadratic Factored Form

The factored form of a quadratic function is f(x)=a(x−r1)(x−r2)f(x) = a(x - r_1)(x - r_2), where r1r_1 and r2r_2 are the zeros (roots) of the function and aa is the leading coefficient.

Learn more about Quadratic Factored Form →

More Quadratic Factored Form Examples

Example 1 easy

What are the zeros of [formula]?

Example 2 medium

Write a quadratic in factored form with zeros at [formula] and [formula] and passing through [formul

Example 3 easy

Find the zeros of [formula].

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