1. Quadratic Functions
By: Cristina V. & Jasmine V.

2. Definition
 A quadratic function is a polynomial function
of the form.
 Equation: f(x) = ax2 + bx + c

3. Quadratic Equation
 f(x) = ax2 + bx + c
 where a, b and c are real numbers and a not
equal to zero. The graph of the quadratic
function is called a parabola. It is a U shaped
curve that may open up or down depending on
the sign of coefficient a.

4. Graphs

5. Quadratic Function Graphs

6. Examples
 Standard Form: f(x) = y = ax2 + bx + c where
a≠0
f(x) = 3x2 -2x + 5
y = -6x2 + 4x
f(x) = x2 + 7
y = -x2

7. Quadratic Examples
y = 5x² + 2x + 5
y = 11x² + 22
y = x² − 4x +5
y = −x² + 5

8. Quadratic Graph Examples

9. Examples

10. Real World Examples

11. Real World Examples

12. Real World Examples

13. Nature Examples

14. Nature Examples

15. Nature Examples