Question

1. Describe how the graphs of y = |x| and y = |x|- 15 are related. (1 point)

(O pts) The graphs have the same shape. The y-intercept of y = |x|is 0, and the x-intercept of the second graph is -15.
C (0 pts) The graphs have the same y-intercept. The second graph is steeper than y = xl.
X (0 pts) The two graphs are the same.
C (1 pt) The graphs have the same shape. The y-intercept of y = x is 0, and the y-intercept of the second graph is -15.

The answer for this question is D the last one the whole quiz is
2. C
3. D
4. B
5. D
Lesson 7: Graphing Absolute value functions UNIT 6 linear function

Answer 1

The graphs of y = |x| and y = |x| - 15 have the same 'V' shape, but y = |x| - 15 is shifted down by 15 units, changing its y-intercept to (0,-15).

Step-by-step explanation:

The graphs of y = |x| and y = |x| - 15 are related by a vertical shift. The function y = |x| is known for its characteristic 'V' shape, with the vertex at the origin (0,0). When we subtract 15 from the absolute value function, we are shifting the entire graph down by 15 units. This means that the shape of the graph remains the same, but the position of the graph on the coordinate plane changes. The new graph y = |x| - 15 will thus have a y-intercept at (0,-15) instead of (0,0). However, the slope of the lines on either side of the vertex remains the same, as the absolute value causes the slope to be 1 on one side of the vertex and -1 on the other side, irrespective of the vertical shift.

Answer 2

Answer: @Kcaintlcoz3567 is correct

D

C

D

B

D

Step-by-step explanation: