For each equation that has a graph, identify the type of graph. It may be necessary to transform the equation.

x=3ysquare+5y-6

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- Jul 24th 2008, 10:11 AM #1

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- Jul 24th 2008, 12:04 PM #2

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The equation of a parabola with a vertical axis of symmetry (ie a parabola that opens up or down) is y = ax^2 + bx + c.

But lets go back to the original equation,

x = 3y^2 + 5y - 6

Notice that instead of having y = ax^2 + bx + c, we have a parabola in the form of x = ay^2 + ay + c. This is a parabola with a horizontal axis of symmetry (ie a parabola that opens left or right).

It may help to make a table of x and y values and plug in random numbers to make a rough sketch of the graph.