Question

There are two fruit trees located at (3,0) and (–3, 0) in the backyard plan. Maurice wants to use these two fruit trees as the focal points for an elliptical flowerbed. Johanna wants to use these two fruit trees as the focal points for some hyperbolic flowerbeds. Create the location of two vertices on the y-axis. Show your work creating the equations for both the horizontal ellipse and the horizontal hyperbola. Include the graph of both equations and the focal points on the same coordinate plane.
Can someone please help? I really want to know how to do this but it is hard to understand. I will give a medal!!!

Answer 1

you can graph the equations using desmos

Answer 2

thanks for replying. but honestly, Im doing this online and I don't understand anything. I need someone to help me step by step

Answer 3

ok

Answer 4

are you there?

Answer 5

yes im here. give me a second

Answer 6

np just making sure

Answer 7

okay. what else do I do?

Answer 8

does it look like this?

Answer 9

it can't have a zero....
sorry i completely misread your problem, lets start over:

Answer 10

the points are focal points, not vertexes, so it won't work

Answer 11

okay. sure :)

Answer 12

you can use :a^2−b^2=c^2
3,4,5 work to get:
a=5,b=4 c=3 and use
x^2/5^2+y^2/4^2=1
this graph will make your foci (−3,0) and (3,0)

Answer 13

i just attached the graph

Answer 14

for the hyperbola
x^2/a^2−y^2/b^2=1
you can use this formula:
a^2+b^2=3^3
make a^2=8,b^2=1 to get 9, then plug them in to get:
x^2/8−y^2=1

Answer 15

x^2/8−y^2=1
this is your hyperbola

Answer 16

if you graph the hyperbola, ellipse, and two points, on one graph you will have your answer

Answer 17

ooh okay. thanks, ill do it then show you what I have

Answer 18

http://www.wolframalpha.com/input/?i=+x^2%2F8-y^2%3D1%2Cx^2%2F25%2By^2%2F16%3D1

Answer 19

is what it should look like

Answer 20

sorry it took a bit long and i messed up at first

Answer 21

thats okay, thanks