Math Problem Statement

x^{2}-8x+13, find the line of symmetry

Solution

To find the line of symmetry for the quadratic function f(x)=x28x+13f(x) = x^{2} - 8x + 13, we use the formula for the axis of symmetry of a quadratic equation in the form ax2+bx+cax^2 + bx + c:

x=b2ax = \frac{-b}{2a}

For the

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Line of Symmetry

Formulas

Axis of Symmetry Formula: x = -b / (2a)

Theorems

Properties of Quadratic Functions

Suitable Grade Level

Grades 7-9