Evaluating Quadratic Functions: Example 2

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.

This example shows the evaluation of f(x) = -8x² - 6x + 7 at x = -2. We substitute -2 for x: f(-2) = -13. This demonstrates how negative input values are handled in quadratic functions, emphasizing the importance of careful calculation with signed numbers.

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