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FP1: Hyperbolas - is this correct?

Hi there, I have made up a Hyperbola myself and drawn a graph of it, please could someone tell me If it is correct:

5pqxkg.jpg

Many thanks
Reply 1
Avatar for Notnek
Notnek
21
Original post by jackie11
Hi there, I have made up a Hyperbola myself and drawn a graph of it, please could someone tell me If it is correct:

5pqxkg.jpg

Many thanks

Your drawing is fine but in your working you gave the asymptotes as y=±2x\displaystyle y=\pm 2x which is not correct.

Remember, this is a shifted hyperbola so the asymptotes are not simply y=±bax\displaystyle y=\pm \frac{b}{a} x.
Reply 2
Avatar for ztibor
ztibor
10
Original post by jackie11
Hi there, I have made up a Hyperbola myself and drawn a graph of it, please could someone tell me If it is correct:

5pqxkg.jpg

Many thanks


It is correct. Your asymptote is y'=+-2x' in the shifted new coordinate system (x',y').
In original y+1=+/- 2(x-3) is the equation
(edited 11 years ago)
Reply 3
Avatar for jackie11
jackie11
OP
4
Original post by ztibor
It is correct. Your asymptote is y'=+-2x' in the shifted new coordinate system (x',y').
In original y+1=+/- 2(x-3) is the equation


ok thank you ztibor :smile:

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