{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Stitz-Zeager_College_Algebra_e-book

# Check your answer algebraically and graphically 1 2 2x

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: eft and right of the center. In this case, as√ we’ve seen in the derivation, the distance from the center to the focus, c, can be found by c = a2 − b2 . If b > a, the roles of the major and minor axes are reversed, and the foci lie above and below the center. √ In this case, c = b2 − a2 . In either case, c is the distance from the center to each focus, and √ c = bigger denominator − smaller denominator. Finally, it is worth mentioning that if we take the standard equation of a circle, Equation 7.1, and divide both sides by r2 , we get Equation 7.5. The Alternate Standard Equation of a Circle: The equation of a circle with center (h, k ) and radius r > 0 is (x − h)2 (y − k )2 + =1 r2 r2 Notice the similarity between Equation 7.4 and Equation 7.5. Both equations involve a sum of squares equal to 1; the diﬀerence is that with a circle, the denominators are the same, and with an ellipse, they are diﬀerent. If we take a transformational approach, we can consider both equations as shifts and stretches of the Unit Circle x2 + y 2 =...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online