I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 1.10 : Common Graphs
15. Without using a graphing calculator sketch the graph of \(\displaystyle 25{\left( {x + 2} \right)^2} + \frac{{{y^2}}}{{4}} = 1\).
Show SolutionThis is just an ellipse that is almost in standard form. With a little rewrite we can put it into standard form as follows,
\[\frac{{{\left( x+2 \right)}^{2}}}{{}^{1}/{}_{25}}+\frac{{{y}^{2}}}{4}=1\]We can now see that the ellipse has a center of \(\left( { - 2,0} \right)\) while the left/right most points will be \(\frac{1}{5} = 0.2\) units away from the center and the top/bottom most points will be 2 units away from the center. Here is a quick sketch of the ellipse.
