The graphs of the lines y=|x| and y=|x+6| have similar shapes, but they are shifted differently.
The graph of y=|x| is a V-shaped graph that opens upwards and passes through the origin (0,0). The vertex of the V is at the origin.
The graph of y=|x+6| is also a V-shaped graph that opens upwards, but it is shifted horizontally by 6 units to the left compared to y=|x|. So, the vertex of the V is at x=-6.
Therefore, the answer is b. The graphs are the same shape, but the graph of y=|x+6| is shifted to the left by 6 units compared to the graph of y=|x|.
how are the graphs of the given lines related?
y=|x| and y= |x+6|
a. same, but shifted down 6
b. same, but shifted left 6
1 answer
1 answer