Graph: (x-6)^2/4 - (y-4)^2/1=1

Please I have no idea what it would even look like :(

Question

Graph: (x-6)^2/4 - (y-4)^2/1=1

Please I have no idea what it would even look like  :(

anonymous · Answer

can you write it out using the equation button?

anonymous · Answer

$$(x-6)^{2}\div4- (y-4)^{2}\div1=1$$

anonymous · Answer

Im supposed to graph it by hand :/

anonymous · Answer

can you combine the left side into 1 term?

anonymous · Answer

attachment

anonymous · Answer

This is what it looks like.

anonymous · Answer

$$\frac{1}{4} (x-6)^2-(y-4)^2=1 $$Solve the above for y.$$y=\frac{1}{2} \left(8\pm \sqrt{32-12 x+x^2}\right) $$A plot is generated in two parts.  The red part is the result of using the + sign and the blue the - sign.

Calculations and Plot provided by Mathematica 8 Home Edition.

anonymous · Answer

THANK YOU SO MUCH :) What about 
Graph a hyperbola with foci at (0, ±10) and vertices at (0, ±8) using graphing technology ? :)
 think you can do it? :)

anonymous · Answer

Mathematica, and neither can I, process a statement like that directly.  It is much easier and faster to plot equations using a computer program.  The resulting curves are precise and accurate.  There is a move afoot to introduce  software like Mathematica into school math programs but it is not there yet by any stretch.