Use a graphing calculator or computer to determine which of the viewing rectangles produces the most appropriate graph of the equation $y = - | x + 2 | - 3$ .
A) $[ - 1,1 ]$ by
$[ - 1,1 ]$
B) $[ - 6,1 ]$ by
$[ - 8,0 ]$
C) $[ 6,1 ]$ by
$[ - 8,8 ]$
D) $[ - 6,8 ]$ by
$[ 8,0 ]$
E) $[ - 15,2 ]$ by
$[ - 1,1 ]$

Question

Quizplus · Accepted Answer

By plotting the graph, we can see that the vertex of the absolute function, which is at $(-2,0)$, is in the middle of the horizontal viewing rectangle, so we need to focus on the vertical viewing rectangle. The graph extends downward to $-3$ and to the left up to $(-8,-3)$ and up to $(-6,0)$ on the right. Therefore, the best choice is $[ - 6,1 ]$ by $[ - 8,0 ]$ which captures the entire graph and shows the detail of the slope and end points accurately.

Use a Graphing Calculator or Computer to Determine Which of the Viewing