ex81 - Exercise Set 8.1 Parabolas Write each of the...

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Exercise Set 8.1: Parabolas Math 1330, Precalculus The University of Houston Chapter 8: Analytic Geometry Write each of the following equations in the standard form for the equation of a parabola, where the standard form is represented by one of the following equations: () 2 4 xh pyk −= 2 4 2 4 yk pxh 2 4 1. 2 14 2 43 0 yy x −− + = 2. 2 10 12 61 xx y +−= 3. 2 98 1 0 yx x −=−− 4. 2 71 0 2 4 xy y −= − + 5. 2 32 4 5 0 y =−+ 6. 2 21 2 1 5 yx x =++ 7. 2 33 5 0 y −−−= 8. 2 55 6 x += For each of the following parabolas, (a) Write the given equation in the standard form for the equation of a parabola. (Some equations may already be given in standard form.) It may be helpful to begin sketching the graph for part (h) as a visual aid to answer the questions below. (b) State the equation of the axis. (c) State the coordinates of the vertex. (d) State the equation of the directrix. (e) State the coordinates of the focus. (f) State the focal width.
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This note was uploaded on 07/14/2010 for the course MATH 1330 taught by Professor Staff during the Spring '08 term at University of Houston.

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ex81 - Exercise Set 8.1 Parabolas Write each of the...

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