A parametric equation is a set of equations with more than one dependent variables. Figure 1 is an example of a parametric equation.
y = t - 1 x = 2t + 2 Figure 1 - Example of a parametric equation. |
In figure 1, both y and x are dependent variables. The independent variable is t in both cases. For a set of equations to be a parametric equation, all dependent variables (x and y in this case) must depend on the same independent variable (t in this case).
Parametric equations are used in physics to describe the location of particles over time. They are useful whenever more than one dependent variable depends on an independent variable.
Figure 2 is an example of a graph of a parametric equation.
Click on the blue points on the sliders to change the figure. |
Manipulative 1 - Parametric Equation Created with GeoGebra. |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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