CONIC SECTIONS Graphing Hyperbolas (Page 1 of 3)

For the final conic section, let's graph the hyperbola (y-1)^2/9-(x+5)^2/16 = 1. Because a hyperbola is not a function, it cannot be graphed in function mode as a single curve. We must first isolate y: y = 1+-3sqrt(1+(x+5)^2/16). In doing so, we are representing the hyperbola as the union of two functions. The function with the addition will be the upper half of the hyperbola, and the function with the subtraction will be the lower half. Enter the functions separately as Y1 and Y2.

 Y= key. (Clear any previous functions)

 1 Plus key. 3 2nd Square root key. 1 Plus key. Left parenthesis key. X,T,theta,n key. Plus key. 5 Right parenthesis key. x-squared key.
 Divide key. 16 Right parenthesis key. ENTER key.
 1 Minus key. 3 2nd Square root key. 1 Plus key. Left parenthesis key. X,T,theta,n key. Plus key. 5 Right parenthesis key. x-squared key.
 Divide key. 16 Right parenthesis key.

 Calculator screen image.
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