Solutions for Parametric Equations: Graphs
Solutions to Try Its
1.![Graph of the given parametric equations with the restricted domain - it looks like the right half of an upward opening parabola.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181504/CNX_Precalc_Figure_08_07_0032.jpg)
![Graph of the given equations - a horizontal ellipse.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181507/CNX_Precalc_Figure_08_07_0052.jpg)
![Overlayed graph of the two versions of the ellipse, showing that they are the same whether they are given in parametric or rectangular coordinates.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181513/CNX_Precalc_Figure_08_07_0092.jpg)
Solutions to Odd-Numbered Exercises
1. plotting points with the orientation arrow and a graphing calculator 3. The arrows show the orientation, the direction of motion according to increasing values of [latex]t[/latex]. 5. The parametric equations show the different vertical and horizontal motions over time. 7.![Graph of the given equations - looks like an upward opening parabola.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181516/CNX_Precalc_Figure_08_07_2022.jpg)
![Graph of the given equations - a line, negative slope.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181518/CNX_Precalc_Figure_08_07_2042.jpg)
![Graph of the given equations - looks like a sideways parabola, opening to the right.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181519/CNX_Precalc_Figure_08_07_2062.jpg)
![Graph of the given equations - looks like the left half of an upward opening parabola.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181520/CNX_Precalc_Figure_08_07_2082.jpg)
![Graph of the given equations - looks like a downward opening absolute value function.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181522/CNX_Precalc_Figure_08_07_2102.jpg)
![Graph of the given equations - a vertical ellipse.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181523/CNX_Precalc_Figure_08_07_2122.jpg)
![Graph of the given equations- line from (0, -3) to (3,0). It is traversed in both directions, positive and negative slope.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181524/CNX_Precalc_Figure_08_07_2142.jpg)
![Graph of the given equations- looks like an upward opening parabola.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181526/CNX_Precalc_Figure_08_07_2162.jpg)
![Graph of the given equations- looks like a downward opening parabola.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181527/CNX_Precalc_Figure_08_07_2182.jpg)
![Graph of the given equations- horizontal ellipse.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181529/CNX_Precalc_Figure_08_07_2202.jpg)
![Graph of the given equations- looks like the lower half of a sideways parabola opening to the right](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181530/CNX_Precalc_Figure_08_07_2222.jpg)
![Graph of the given equations- looks like an upwards opening parabola](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181532/CNX_Precalc_Figure_08_07_2242.jpg)
![Graph of the given equations- looks like the upper half of a sideways parabola opening to the left](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181534/CNX_Precalc_Figure_08_07_2262.jpg)
![Graph of the given equations- the left half of a hyperbola with diagonal asymptotes](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181535/CNX_Precalc_Figure_08_07_2282.jpg)
![Graph of the given equations - vertical periodic trajectory](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181536/CNX_Precalc_Figure_08_07_2302.jpg)
![Graph of the given equations - vertical periodic trajectory](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25181538/CNX_Precalc_Figure_08_07_2322.jpg)
![Graph of the given equations](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002222/CNX_Precalc_Figure_08_07_233.jpg)
![Graph of the given equations - lines extending into Q1 and Q3 (in both directions) from the origin to 1 unit.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002223/CNX_Precalc_Figure_08_07_235.jpg)
![Graph of the given equations - lines extending into Q1 and Q3 (in both directions) from the origin to 3 units.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002225/CNX_Precalc_Figure_08_07_237.jpg)
![Graph of the given equations](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002232/CNX_Precalc_Figure_08_07_243.jpg)
![Graph of the given equations](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002233/CNX_Precalc_Figure_08_07_244.jpg)
![Graph of the given equations](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002234/CNX_Precalc_Figure_08_07_245.jpg)
![Graph of the given equations](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002235/CNX_Precalc_Figure_08_07_249.jpg)
![Graph of the given equations](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002239/CNX_Precalc_Figure_08_07_250.jpg)
![Graph of the given equations](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002240/CNX_Precalc_Figure_08_07_251.jpg)
![Graph of the given equations - a hypocycloid](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002242/CNX_Precalc_Figure_08_07_253.jpg)
![Graph of the given equations - a four petal rose](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/923/2015/04/25002243/CNX_Precalc_Figure_08_07_255.jpg)
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- Precalculus. Provided by: OpenStax Authored by: OpenStax College. Located at: https://cnx.org/contents/[email protected]:1/Preface. License: CC BY: Attribution.