Quadratic Function – Zeros

Explanation

ZEROS OF A QUADRATIC FUNCTION

The zeros of a quadratic function are those values of x for which f(x) = 0. This means the points where the function intersects the x-axis. A quadratic function typically has two zeros, which can be calculated in several ways.

To determine the zeros, we solve the quadratic equation ax² + bx + c = 0.

CALCULATING THE ZEROS

To calculate the zeros, we set the entire function equal to 0, obtaining a quadratic equation.

METHODS FOR SOLVING:

If possible, we solve the equation by factoring out the greatest common factor or by using rules for factoring trinomials (e.g., Vieta's formulas).

If factoring is not straightforward, we use the quadratic formula to calculate the zeros:
x = [-b ± sqrt(b² – 4ac)] / (2a)

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Quadratic Function – Introduction

Quadratic Function – Vertex

Quadratic Function – Zeros

Quadratic Function – Example

Factoring Quadratic Equations 1

Quadratic Function – Zeros

ZEROS OF A QUADRATIC FUNCTION

CALCULATING THE ZEROS

METHODS FOR SOLVING:

Function

Linear Function

Quadratic Function

Inverse Function

Power Function

Exponential Function

Logarithmic Function

Exponential Equation