My notes have y=sqrt x^2-16
Now it's -4 and 4 on the x axis, but just the top part of the y curve, as it starts with that. going out to each side.
So the fixing up the equation above is y^2=x^2-16
so y^2-x^2=-16 which turns into x^2-y^2=16.
Now x^2=16 is x=4, But for y it's y = -4, but how does that work? I need x -4,+4.
I don't understand how to come up with the -4 on x.
Does this make sense? it's hard to write out without a graph.
If you go to this graphing online you will see what I am talking about keying in the above equation in bold
If someone can explain this would be great, thanks.
just trying to understand it, because I am not getting it.
The graph of is a hyperbola with two separated parts- one to the right of the y-axis, the other to the left.
The graph of is the upper half of that hyperbola and consists of two separate "wings". It meets the x-axis at x= 4 and x= -4 but does NOT cross the y- axis. In fact x is always either larger than or equal to 4 or less than or equal to -4.