Question

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

Answer 1

wrong

Answer 2

The correct answer is b. same, but shifted left 6.

Both equations are absolute value functions, but the second equation y = |x| - 6 is obtained from the first equation y = |x| by shifting the graph horizontally to the left by 6 units. This means that for each value of x, the y-coordinate is the same in both equations, but the graph of y = |x| - 6 is shifted 6 units to the left compared to the graph of y = |x|.

Answer 3

I apologize for the incorrect response. The correct answer is actually a. same, but shifted down 6.

Both equations are absolute value functions, but the second equation y = |x| - 6 is obtained from the first equation y = |x| by shifting the graph vertically downward by 6 units. This means that for each value of x, the y-coordinate is 6 units smaller in the second equation compared to the first equation. Therefore, the graphs of y = |x| and y = |x| - 6 are the same, but the graph of y = |x| - 6 is shifted down by 6 units.