Ellipses

Question 1

What is an Ellipse?

Answer 1

The set of points P(x,y) in a plane such that the sum of the distances from any point P on the ellipse to two fixed points F1 and F2, called the foci.

Question 2

What is the Formula for the Constant Sum?

Answer 2

d=PF1+PF2 or d=sqrt((x1-x3)^2)+(y1-y3)^2))+sqrt((x2-x3)^2)+((y2-y3)^2).

Question 3

What is the Equation for a Horizontal Ellipse?

Answer 3

x2/a2+y2/b2=1.

Question 4

What is the Equation for a Vertical Ellipse?

Answer 4

y2/a2+x2/b2=1.

Question 5

What is the Equation for the Vertices of an Ellipse?

Answer 5

Horizontal: (a,0), (-a,0). Vertical: (0,a), (0,-a).

Question 6

What is the Equation for the Foci of an Ellipse?

Answer 6

Horizontal: (c,0), (-c,0). Vertical: (0,c), (0,-c).

Question 7

What is the Equation for the Co-Vertices of an Ellipse?

Answer 7

Horizontal: (0,b), (0,-b). Vertical: (b,0), (-b,0).

Question 8

What is the Equation for the Relationship of an Ellipse?

Answer 8

c^2=a^2-b^2.

Question 9

How do you find the Center of an Ellipse with a Graph?

Answer 9

You look at the middle.

Question 10

How do you Graph an Ellipse?

Answer 10

You use an Equation to find the Points and you draw them.