Parametric Equation: Powers

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Detailed Contents

Index

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If you want to see all of the following steps at once, click the "All Steps" button. Otherwise, use the "Next" button.



Solve and graph .

Use a graphing calculator to plot this function. Then confirm by clicking the “Next” button.

alt="Graph of the parametric equations. Your browser understands the <APPLET> tag but isn't running the applet, for some reason." Your browser is completely ignoring the <APPLET> tag!

Let’s determine the rectangular equation of this curve. How do we do that?

We can solve one equation for t.

Do that using the “x” equation.

We get

How do we determine t?

We take the cube root of each side of the equation.

What is the fractional power equivalent which we can apply to each side?

Solve for t.

We get

Substitute this result into the “y” equation.

We get .

Can we combine these exponents?

Yes.

How?

We multiply them together.

Do that.

We get

Compare this to the graph.

An easy value to use is x = 4.
We get the point (4, 0.2), which agrees.

The end. If you found this helpful and would recommend that I create more pages like this one, please let me know: Email to John Taylor

General Contents

Detailed Contents

Index