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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 left 2 units
narrower and shifted left 2 units

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

narrower and shifted right 2 units
narrower and shifted right 2 units
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1 answer

To determine the transformations from Function A to Function B, we need to analyze the visual characteristics of the two functions.

If Function B is wider than Function A, it indicates an expansion of the graph horizontally, which often involves a transformation such as a horizontal stretch. Meanwhile, a shift of left or right indicates a movement along the x-axis.

Based on the provided options:

  1. Wider and shifted left 2 units - Would suggest Function B is less steep and moved to the left.
  2. Narrower and shifted left 2 units - Would suggest Function B is steeper and moved to the left.
  3. Wider and shifted right 2 units - Would suggest Function B is less steep and moved to the right.
  4. Narrower and shifted right 2 units - Would suggest Function B is steeper and moved to the right.

If Function B appears wider than Function A and has moved 2 units to the left, the correct description would be "wider and shifted left 2 units."

However, without the actual visual information, we cannot definitively determine which response is correct. Please evaluate the visual aspects of the functions to choose the option that relates to their width and position.