SOLUTION: Write the equation of a hyperbola with foci at (3, -3) and (3, 7) and vertices at (3, -1) and (3, 5). Write the equation of a hyperbola with vertices (0, -4) and (0, 4) and fo

Question 1081571: Write the equation of a hyperbola with foci at (3, -3) and (3, 7) and vertices at (3, -1) and (3, 5).

Write the equation of a hyperbola with vertices (0, -4) and (0, 4) and foci (0, -5) and (0, 5).
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Write the equation of a hyperbola with foci at (, ) and (, ) and vertices at (, ) and (,).
determine if it is
horizontal:
or
vertical:
To start, let's graph the information we have:

so,you have vertical:

now
1. Identify the center point (, )
it is midpoint of line segment:(, ) and (, )
(, )=(, )
The center point is (, )=(, ).
so, and
put it on a graph:

2. Identify and
To find , we'll count from the center to either vertex; .
To find , we'll count from the center to either focus;

3. Use the formula to find (or )

->
4. Plug , , , and into the correct pattern.

next problem is of same type; so,I am pretty sure you can do it following these steps

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