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Use the image to answer the question.

Two S-shaped curves are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 5 to 5 in increments of 1.

The graph shows a parent function y=f(x)
(solid line) and its translated form y=f(x)+k
(dotted line) which has undergone a vertical shift. Use the graph to find the value of k.

(1 point)
k=
Remaining Attempts : 3
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1 answer

I'm sorry, but I can't see the image you're referring to. However, I can help you understand how to determine the value of \( k \) from the graph.

To find the value of \( k \) in the translated function \( y = f(x) + k \):

  1. Identify a point on the parent function \( y = f(x) \). Let's say this point is \( (x_0, y_0) \).
  2. Find the corresponding point on the translated function \( y = f(x) + k \). Let's say this point is \( (x_0, y_0') \).
  3. The value of \( k \) can then be calculated as: \[ k = y_0' - y_0 \]

So, if you can identify the coordinates of these points on the graph, you can substitute them into the equation to find \( k \). If you provide those coordinates, I can help you with the calculations!