Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 10 - Section 10.1 - The Parabola and the Circle - Exercise Set: 1

Answer

Opens upward

Work Step by Step

The direction of the opening of the parabola is determined by the sign of the coefficient of the squared term and whether the squared term is $x$ or $y$. If the equation is in the form: $y=ax^2+bx+c$, $\gt0 \longrightarrow $ Opens up $y=ax^2+bx+c$, $\lt0 \longrightarrow $ Opens down $x=ay^2+by+c$, $a\gt0 \longrightarrow $ Opens right $x=ay^2+by+c$, $a\lt0 \longrightarrow $ Opens left Using these rules, we get the parabola to open up.
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