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junior college 1 | H2 Maths

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Graphing techniques of rational functions and conics

The x2 + 4x - 1, we express it in completed square form as (x + 2)^2 - 5 before bringing over the 5 to the other side.

First equation is (x + 2)^2 + 0.5 (y - 1)^2 = 5 which is an ellipse.

Second equation is (x + 2)^2 - (y - 1)^2 = 5 which is a hyperbola.