Question

graph the hyperbola with equation ((x+2)^2/49)-((y+3)^2/4=1 PLEASE HELP WILL GIVE MEDALS

Answer 1

\[((x+2)^2/49)-((y+3)^2/4)=1\]

Answer 2

we have to perform this traslation first:
\[\left\{ \begin{gathered}
X = x + 2 \hfill \\
Y = y + 3 \hfill \\
\end{gathered} \right.\]

Answer 3

where X, Y are the new coordinates

Answer 4

using those new coordinates, we can write your hyperbola as follows:
\[\frac{{{X^2}}}{{{7^2}}} - \frac{{{Y^2}}}{{{2^2}}} = 1\]

Answer 5

how do I graph it? I have a TI-84 and I cant figure it out

Answer 6

here is the graph of both coordinate systems:

Answer 7

wont they be parabolas?

Answer 8

in the XOY system the graph of your hyperbola is: