Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - Review Exercises and Problems for Chapter Three - Page 130: 21

Answer

i) Vertex: $(3 / 4,-2 / 3)$ ii) Axis of symmetry: $x= 3/4$ iii) $x= 0$, $y$-intercept: $y=2(3 / 4)^2-2 / 3=11 / 24$ iv) Since the coefficient $a$ is positive the curve is concave up.

Work Step by Step

Give $y=2(x-3 / 4)^2-2 / 3$ i) Vertex: $(3 / 4,-2 / 3)$ ii) Axis of symmetry: $x= 3/4$ iii) $x= 0$, $y$-intercept: $y=2(3 / 4)^2-2 / 3=11 / 24$ iv) Since the coefficient $a$ is positive the curve is concave up.
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