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Beginning Pre-Calculus for Game Developers by Boris Meltreger, John P. Flynt

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Flipping Across the Axis

Whether you are working with a linear or a non-linear equation, a negative coefficient has the effect of reversing the slope of the graph. A typical scenario with a linear equation involves seeing the line change so that instead of going from quadrant III to quadrant I, the line goes from quadrant II to quadrant IV. With a parabola, you see the vertex of the parabola flipped so that it opens downward.

Linear Flips

To use Visual Formula to show how changing the coefficient of a variable alters the slope or orientation of a graph, you can start out by working with a linear equation and generating a graph of a line with a positive slope. Then you can create a line with a negative slope. The following sections review the ...

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