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here is a list of the sections within this webpage: a conic section is a special class of curves. the graphic below shows how intersections of a two-napped cone and a plane form a parabola, ellipse, circle, and a hyperbola. to be able to identify these equations of conic sections in general form, we will make use of a graphic that will help us. the steps within each level tell us what to do and all we have to do is answer a few questions. let us examine the equation to answer the question. so, it is not a parabola and we have to go on to level two as directed.

9 is not equal to -16. so, it’s not a circle and we have to proceed to level 3, as directed by the graphic. level three asks, “are the coefficients of the squared terms opposite in sign?” they are not opposite in value, but they are opposite in that one is positive and the other is negative. according to the process flow, the conic section is a hyperbola. in order to manipulate these equations, it is necessary to know what the equations of conics look like in standard form. the example targets the equation of a hyperbola.

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