quadratic function
y=a(x-p)(x-q)
A quadratic function is a kind of mathematical function that involves expressions with variables that are raised to the second power, such as x² or y². It is a polynomial function of the second degree and can be represented graphically as a parabola.
The standard form of a quadratic function is given by:
f(x) = ax² + bx + c
Where a, b, and c are constants, and x is the variable of the function. The term “a” is the coefficient of x² and determines the shape of the parabola. If a is positive, the parabola opens upwards, and if a is negative, the parabola opens downwards. The term “b” is the coefficient of x, and it shifts the parabola horizontally. Finally, the term “c” is a constant that shifts the parabola vertically.
Quadratic functions are widely used in mathematics, physics, and engineering to model various phenomena or solve problems such as finding the maximum or minimum value of a function or solving equations of motion.
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