Evaluating Quadratic Functions: Example 5

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 evaluate f(x) = -4x² - 6x + 5 at x = -3. Substituting -3 for x gives: f(-3) = -13. This case shows how a negative input can result in a positive output, in spite of the squaring of some of the terms.

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