Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.1 Rectangular Coordinates and Graphs - 2.1 Exercises - Page 194: 56

Answer

$\bf \color {blue}{(-4,0),(0,-4),(-8,-4)}$

Work Step by Step

$$\bf{y=-|x+4|}$$ $\bf \text{Lets plug in numbers to find three points}$ if $x=0$: $y=-|0+4|$ $y=-|4|$ $y=-4$ $\bf \color {blue}{(0,-4)}$ if $y=0$: $0=-|x+4|$ $0=-(x+4)$ or $0=-(-(x+4))$ $0=-x-4$ or $0=x+4$ $4=-x$ or $-4=x$ $x=-4$ $\bf \color {blue}{(-4,0)}$ if $y=-4$: $-4=-|x+4|$ $-4=-(x+4)$ or $-4=-(-(x+4))$ $-4=-x-4$ or $-4=x+4$ $0=x$ or $-8=x$ $\bf \color {blue}{(0,-4),(-8,-4)}$ So three of the points are: $\bf \color {blue}{(-4,0),(0,-4),(-8,-4)}$ Which we can graph as:
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