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Find the vertex, focus, and directrix for each parabola below. Find the x and y intercepts of each parabola. а.) х? — 8х — 8у + 16 3D 0 b.) 2x2 —8х — 16у — 24 — 0

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter12: Conic Sections

Section12.1: Parabolas

Problem 4E

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Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

5.) Find the vertex, focus, and directrix for each parabola below. Find the x and y intercepts of each parabola.
а.) х2 — 8х — 8y + 16 — 0
b.) 2x? — 8х — 16у — 24 %3D 0

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