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# Graphing Hyperbolas

 Hyperbolas Simple Hyperbola, in the form y = A/x and y = A/Bx Graph asymptotes, shape and features (symmetry) Remember to define the Domain if you write the equation for part of a Hyperbola graph. AND define the 'x' value not defined for the vertical asymptote eg x ≠3 Ex11.01 p45, Translated Hyperbola Sketching hyperbolas in the form y = A/(x+B) + C Finding both intercepts, asymptotes & sketching translated hyperbola Ex11.02, Ex11.03 p46, p47

Hyperbola rule

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x y
3 1
2 1.5
1 3
0 ?
-1 -3
-2 -1.5
-3 -1

# Hyperbola family

Changing the constant on the top of the equation

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# Inverted hyperbola

A negative multiplier inverts the graph about the horizontal asymptote

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# Vertical shift

Adding a constant vertically translates the hyperbola graph

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# Horizontal shift

Adding a constant to x horizontally translates the hyperbola graph

#### Mouse-over the equations and key words to see the graph

NOTE: the asymptote should be DOTTED

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# Combined shifts

Horizontal and vertical shifts can be combined

#### Mouse-over the equations and key words to see the graph

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NOTE: the asymptotes should be DOTTED

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