- #1
mymachine
- 42
- 0
If x = t, y = 2t, and y ≠ f(x), how to graph these equations?
mathman said:Your condition y ≠ f(x) doesn't make sense. The definitions you give for x and y imply y = 2x, which is easily graphed.
mymachine said:In this case, y is ≠ f(x).
mymachine said:In this case, y is ≠ f(x).
Parametric equations are a set of equations that express the coordinates of a point in terms of one or more independent variables, known as parameters. These equations are commonly used in mathematics and physics to describe curves and surfaces.
Cartesian equations are written in terms of x and y coordinates, while parametric equations are written in terms of parameters. This means that parametric equations can describe more complex shapes and curves, as they are not limited to a single equation.
Parametric equations are used to describe curves and surfaces that cannot be easily expressed using cartesian equations. They also allow for more flexibility and control in manipulating and graphing these shapes.
To graph parametric equations, you can plot points by substituting different values for the parameters and then connecting the points. You can also use a graphing calculator or computer software to graph parametric equations.
Parametric equations are used in a variety of fields, such as engineering, physics, and computer graphics. They can be used to model the motion of objects, design curves and surfaces, and create 3D animations.