2 2 x 3 y 1 1 solution a 25 49 2 y 2 b

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: + a, k ) left most point : ( h - a, k ) top most point : ( h, k + b ) bottom most point : ( h, k - b ) Note that a is the square root of the number under the x term and is the amount that we move right and left from the center. Also, b is the square root of the number under the y term and is the amount that we move up or down from the center. Let’s sketch some graphs. Example 1 Sketch the graph of each of the following ellipses. 2 2 ( x + 2 ) + ( y - 4 ) = 1 [Solution] (a) 9 25 x 2 ( y - 3) (b) + = 1 [Solution] 49 4 2 2 (c) 4 ( x + 1) + ( y + 3) = 1 [Solution] 2 Solution (a) So, the center of this ellipse is ( -2, 4 ) and as usual be careful with signs here! Also, we have a = 3 and b = 5 . So, the points are, right most point : (1, 4 ) left most point : ( -5, 4 ) top most point : ( -2,9 ) bottom most point : ( -2, -1) © 2007 Paul Dawkins 216 http://tutorial.math.lamar.edu/terms.aspx College Algebra Here is a sketch of this ellipse. [Return to Problems] (b) The center for this part is ( 0,3) and we have a = 7 and b = 2 . The points we need are, righ...
View Full Document

Ask a homework question - tutors are online