Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Section 10.4 - The Parabola; Identifying Conic Sections - Exercise Set - Page 801: 98


See the explanation below.

Work Step by Step

Standard form of a horizontal parabola is $x=a(y-k)^2+h$ and Standard form of a vertical parabola is $y=a(x-h)^2+k$ Standard form of a hyperbola is $\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1$ Use standard form of equation of circles; $(x-a)^2+(y-b)^2=r^2$ Here, $r$ defines radius and $(a,b)$ defines center. Standard form of an ellipse is $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ In comparison to all the above conic sections, we have noticed that a parabola only consists of a single squared variable at a one time either $x^2$ or ^y^2$.
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