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 802: 105

Answer

Makes sense

Work Step by Step

a) Standard form of a parabola is $x=a(y-k)^2+h$ and Here, vertex:$(h,k)$ b) Use standard form of equation of circles; $(x-a)^2+(y-b)^2=r^2$ Here, $r$ defines radius and $(a,b)$ defines center. c) Standard form of an ellipse is $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ d) Standard form of an hyperbola is $\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1$ In above all standard form of conic sections atleast one of the variable $x$ and $y$ has been squared. Thus, the statement makes sense.
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