Brightstorm is like having a personal tutor for every subject
See what all the buzz is about
Check it outThe Ellipse  Problem 7 329 views
An ellipse equation needs to be in standard form, meaning equal to one with two perfect square binomials, in order for us to find any key features that are based on the values of "a," "b," and/or "c." In this case, there are no linear terms for x or y, which tells us that the ellipse is centered at the origin. Hence, there is no need to complete the square. Rather, we divide all terms by what is on the right side, 64, in order to make the ellipse equal to one. From there, our new denominators represent a^2 and b^2. Using the relation a^2  b^2 = c^2, we can solve for c in order to find the coordinates of the foci.
Transcript Coming Soon!
Please enter your name.
Are you sure you want to delete this comment?
Concept (1)
Sample Problems (20)
Need help with a problem?
Watch expert teachers solve similar problems.

The Ellipse
Problem 1 9,589 viewsGive an equation for an ellipse centered at the origin 10 units wide and 6 units tall?
Foci? 
The Ellipse
Problem 2 7,305 views(x + 2)² + (y − 3)² = 1 4 25 a) Graphb) foci 
The Ellipse
Problem 3 6,576 viewsFind the equation for an ellipse with foci (±6,0) and covertices at (0,±8).

The Ellipse
Problem 4 6,027 viewsGiven 4x² + y² + 24x − 4y + 36 = 0.
Find the center and length of the major and minor axis. 
The Ellipse
Problem 5 402 views 
The Ellipse
Problem 6 322 views 
The Ellipse
Problem 7 328 views 
The Ellipse
Problem 8 307 views 
The Ellipse
Problem 9 282 views 
The Ellipse
Problem 10 281 views 
The Ellipse
Problem 11 307 views 
The Ellipse
Problem 12 303 views 
The Ellipse
Problem 13 287 views 
The Ellipse
Problem 14 249 views 
The Ellipse
Problem 15 332 views 
The Ellipse
Problem 16 269 views 
The Ellipse
Problem 17 292 views 
The Ellipse
Problem 18 310 views 
The Ellipse
Problem 19 303 views 
The Ellipse
Problem 20 301 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete