Hyperbolas

Question 1

What is a Hyperbola?

Answer 1

The set of points P(x,y) in a plane such that the difference of the distances from P to fixed points F1 and F2, the foci, is constant.

Question 2

What are Foci?

Answer 2

Foci is the word for multiple Focuses.

Question 3

What is the Distance Formula for Hyperbolas?

Answer 3

d=|sqrt(((x1-x3)^2)+((y1-y3)^2)-sqrt(((x2-x3)^2+((y2-y3)^2))|

Question 4

What is the Equation for a Horizontal Hyperbola?

Answer 4

x2/a2+y2/b2=1.

Question 5

What is the Equation for a Vertical Hyperbola?

Answer 5

y2/a2+x2/b2=1.

Question 6

What is the Equation for the Vertices of a Hyperbola?

Answer 6

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

Question 7

What is the Equation for the Foci of a Hyperbola?

Answer 7

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

Question 8

What is the Equation for the Co-Vertices of a Hyperbola?

Answer 8

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

Question 9

What is the Equation for the Relationship of a Hyperbola?

Answer 9

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

Question 10

How do you Graph a Hyperbola?

Answer 10

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