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Use the image to answer the question.

A coordinate plane's axes range from negative 5 to 5, both by 1-unit increments. 2 functions are plotted, 1 solid and 1 dotted. The solid function is labeled 'Function upper A' and the dotted function is labeled 'Function upper B.'

Describe the transformations from Function A
to Function B
.

(1 point)
Responses

wider and shifted left 2 units
wider and shifted left 2 units

narrower and shifted right 2 units
narrower and shifted right 2 units

wider and shifted right 2 units
wider and shifted right 2 units

narrower and shifted left 2 units

1 answer

To answer the question about the transformations from Function A to Function B based on your description of the plotting, we need to analyze the characteristics of the transformations.

  1. If Function B appears wider than Function A, then it could be related to a vertical compression or the horizontal stretching of the graph.
  2. If Function B is shifted left or right from Function A, we can identify the shift based on the x-coordinates of key points in the two functions.

However, without the visual representation, I can't definitively determine whether Function B is wider or narrower or shifted left or right in relation to Function A.

Considering the possible responses:

  • If Function B is indeed wider and has been shifted left by 2 units, the correct answer would be: wider and shifted left 2 units.
  • If Function B is narrower and shifted right by 2 units, select: narrower and shifted right 2 units.
  • If Function B is wider and shifted right by 2 units, you would choose: wider and shifted right 2 units.
  • If Function B is narrower and shifted left by 2 units, the answer would be: narrower and shifted left 2 units.

Please analyze the functions plotted on the coordinate plane to determine which transformation applies based on their properties (wideness/narrowness and shifting left/right).