Evaluating Quadratic Functions: Example 1

Topic

Quadratics

Description

Evaluating a function means determining the output value (y) for a given input value (x). In function notation, we write f(x) to represent the function, and f(a) represents the output value when x = a.

For a quadratic function in standard form f(x) = ax² + bx + c, evaluating the function involves substituting a specific value for x and calculating the result using the given coefficients a, b, and c.

In this example, we're evaluating the quadratic function f(x) = 4x² - 4x + 3 at x = 1. To do this, we substitute 1 for x in the equation: f(1) = 6. This process demonstrates how to calculate the function's output for a specific input value, showing the practical application of function evaluation.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.