College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 3 - Section 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 292: 2


Domain: $(-\infty, \infty)$ Range: $[-4,\infty)$ Vertex: $(5,-4)$ Axis: $x=5$ Y-intercept: $(0,21)$ X-intercepts: $(3,0)$ and $(7,0)$

Work Step by Step

Domain: x can have value. Range: There are no points on the graph that have a y-value less than -4. Vertex: Can be seen on the graph. Axis of parabola: Has the same x-value as the vertex. Y-intercept: Substitute 0 for x and solve for y. $$y=(0-5)^2-4$$ $$y=25-4$$ $$y=21$$ Zeroes: Substitute 0 for y and solve for x. $$0=(x-5)^2-4$$ $$4=(x-5)^2$$ $$x=5+2, 5-2$$ $$x=7,3$$
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