Hyperbolas act like the opposite of ellipses. Rather than adding the x and y terms in the standard form of the equation, we subtract them. Rather than subtracting a^2 and b^2 to find the foci, we add them.
We reviewed the "box" method of graphing in which we can draw a rectangle centered at (h,k) with length 2b and width 2a. This can be used to draw the desired asymptotes/vertices in the graph.
Pay close attention to the point-slope method to find the asymptotes and the way we decide what direction a hyperbola goes.
Finally, we reviewed how to change a messed-up equation in the form:
Ax^2+Bx+Cy^2+Dy+E=0
into standard form at the end of class(where A or C are negative).
Whenever you want to graph a hyperbola: label vertices, foci, asymptotes(show box work)
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