 |
|---|
SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
| PAGE: 438 | SET: Exercises | PROBLEM: 1 |
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 |
Simply chose a support option
  
|