Mastery Check Solutions

Show What You Know

Using the values in the given set only once, write the equation of an ellipse that meets the following requirements:


• A vertical major axis


• A center in Quadrant 3


• $h<k$


• The values of $a^2$ and $b^2$ are perfect squares


$\left\{–3, –2, –1, 0, 1, 2, 3, 4, 5, 6\right\}$


$\frac{{\left(x–\boxed{ }\right)}^2}{\boxed{ }\boxed{ }}+\frac{{\left(y–\boxed{ }\right)}^2}{\boxed{ }\boxed{ }}=1$

Note

There are nine possible solutions to the problem. You only need to provide one solution. You can use technology to explore multiple solutions. 

Say What You Know

In your own words, talk about what you have learned using the objectives for this lesson and your work on this page.

Note

Restate the objectives of the lesson in your own words. If you are unable to restate the lesson objectives, go back and reread the objectives and then explain them.

• Write the equation of an ellipse using the given information.
• Graph an ellipse using the given information.
• Transform ellipses.