Unformatted text preview: equation y = − x 2 whose locus opens down : it is the refection o³ our original parabola y = x 2 about the x-axis (Figure 2.11 ). y = x 2 y = − x 2 Figure 2.11: Refecting a parabola about the x-axis Finally, we can interchange the two variables; this e±ects a refection about the diagonal line y = x . We have seen the e±ect o³ this on an ellipse and hyperbola. For a parabola, the interchange x ↔ y takes the parabola...
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- Fall '08
- Calculus, Conic section, hyperbola.