Question

19. Describe how the graphs of y = |x| and y = |x + 5| are related. (1 point)

The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
5.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
–5.
The two graphs are the same.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the x-intercept of the second graph is
5.

Answer 1

The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is 5.

Explanation:

When we add the 5 inside the absolute value, we shift the graph to the left 5 units. The y intercept of abs (x) is 0 and the y intercept of y = abs(x+5) is 5 . The x intercept of y =abs (x) is 0 and the x intercept of y =abs(x+5) is -5. The graph has the same shape