Quadratic Function – Zeros
Video explanation
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)
Take a picture of your assignment and use AI tutor.
- Function
- Linear Function
- Quadratic Function
- Inverse Function
- Power Function
- Exponential Function
- Logarithmic Function
- Exponential Equation