SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
The standard form of vertical ellipse is .
Where
,
,
: length of semi major axis,
: length of semi minor axis,
Center : ,
Foci : ,
Vertices : ,
Co-vertices : ,
Major axis : ,
Minor axis : .
The ellipse equation is .
Rewrite the above equation as .
Compare the equation with .
and .
.
Use these values to determine the characteristics of the ellipse.
Since , it is a vertical ellipse.
Center : .
Foci : .
Vertices : .
Co-vertices : .
Major axis : .
Minor axis : .
Graph the center, vertices, foci, and axes.
Make a table of values to sketch the ellipse.
The ellipse equation is .
Solve for .
.
|
||
|
||
|
Plot the points and sketch the ellipse.
Graph :
Graph of :
.
Graph of :
.
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
"Your site is amazing! It helped me get through Algebra." Charles |
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |