Intermediate Algebra for College Students (7th Edition)

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

Chapter 8 - Section 8.3 - Quadratic Functions and Their Graphs - Exercise Set - Page 628: 82

Answer

it makes sense.

Work Step by Step

It makes sense. When $a>0$, the parabola opens upward — like a smile. When $a<0$, the parabola opens downward — like a frown. So the given sentence sentence: “Parabolas that open up appear to form smiles (a > 0), while parabolas that open down frown (a < 0)” is both mathematically accurate and visually intuitive.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.