Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 250: 80a


Positive. The parabola opens upward.

Work Step by Step

In the sum $at^2+bt+c$, the term $at^2$ prevails over the terms: $bt$ and $c$ for large values of $|t|$, that is, when $t→+∞$ or $t→-∞$ So, if $a\gt0$ the parabola open upward beacuse the term $ax^2$ is positive. If $a\lt0$ the parabola opens downward beacuse the term $ax^2$ is negative.
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