Asked by bob

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.
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The first curve is solid and passes through coordinates left parenthesis negative 1 comma negative 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 1 right parenthesis. The second curve is dotted and passes through coordinates left parenthesis negative 1 comma negative 3 right parenthesis, left parenthesis 0 comma negative 2 right parenthesis, and left parenthesis 1 comma negative 1 right parenthesis.

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.

All Answers 1

Answered by GPT-5 mini AI
k = -2

Each dotted point is 2 units below the solid point (for example f(0)=0 and f(0)+k = -2, so k = -2).