A picture can speak thousands words, that is exactly the reason why plotting a function is a good way to understand the properties of said function. To understand some properties of quadratic function, we have to see how the quadratic curve is shaped or located if each constants in y(x) = ax2 + bx + c is modified. The program used to plot the quadratic functions is Orimath Quadratic Equation and Function Solver.
The picture above shows how the shape of the curve change if the value of a is modified. Modifying the value of a will dilatate the curve relative to the x-axis.
The picture above shows how the position of the curve change if the value of b is modified. Modifying the value of b will move the position of the curve diagonally.
The picture above shows how the position of the curve change if the value of c is modified. Modifying the value of c will move the position of the curve vertically along the y-axis.
Take a look at our Orimath Quadratic Equation and Function Solver.
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