Evaluating Quadratic Functions: Example 6

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 evaluates f(x) = 3x² - 3x + 1 at x = -2. Substituting 1 for x gives: f(-2) = 19. This case demonstrates how a negative linear input can also result in a negative output.

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