Lizzy is playing pool. She is trying to hit her ball so that it bounces off the wall of the pool table and rolls into the hole. This is shown in the graph below. The function that describes the path of the ball is y=|x−4|+k

Question

.



(1 point)
Responses

4
4

-4
-4

8
8

-8
-8
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Answer 1

To determine the correct value of \( k \) in the equation \( y = |x - 4| + k \), we need additional information from the graph you're referring to. The value of \( k \) will shift the graph vertically.

1. If \( k \) is positive, the graph shifts upwards.
2. If \( k \) is negative, the graph shifts downwards.

If you could provide characteristics from the graph such as where the ball hits the wall and the point where it enters the hole, I would be able to help you find the correct value of \( k \). Without that information, I cannot definitively say which of the responses is correct (4, -4, 8, or -8). Please provide more details from the graph or the situation.