Chapter 4 Quadratic Functions and Factoring - Prerequisite Skills - Page 234: 10

See the graph

$y=|x-5|+4$ Make a list of values: $x=3\rightarrow y=6$ $x=4.5\rightarrow y=4.5$ $x=5.5\rightarrow y=4.5$ $x=7\rightarrow y=6$ The graph of $y=|x-5|+4$ is the graph of $y= |x|$ translated 5 units horizontally and 4 units verically, as shown in the diagram. The vertex of $y=|x-5|+4$ is $(5,4)$