the graphs of y = |x| and y = |x| – 15 are related.
x: 8, 16, 24
y: 13, 26, 39
To understand the relationship between the graphs of y = |x| and y = |x| - 15, let's substitute the given x-values into both equations and see if the corresponding y-values follow a pattern.
For y = |x|:
When x = 8, y = |8| = 8
When x = 16, y = |16| = 16
When x = 24, y = |24| = 24
For y = |x| - 15:
When x = 8, y = |8| - 15 = 8 - 15 = -7
When x = 16, y = |16| - 15 = 16 - 15 = 1
When x = 24, y = |24| - 15 = 24 - 15 = 9
So, the corresponding y-values for y = |x| - 15 are -7, 1, and 9.
Comparing the two sets of y-values:
For y = |x|, the y-values are 8, 16, and 24.
For y = |x| - 15, the y-values are -7, 1, and 9.
From the given data, we can see that the y-values for y = |x| - 15 are 15 units less than the y-values for y = |x|. Therefore, the graphs of y = |x| and y = |x| - 15 are related by shifting the graph of y = |x| downward by 15 units.