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

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

narrower and shifted left 2 units
narrower and shifted left 2 units

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

wider and shifted right 2 units

1 answer

To analyze the transformations from Function A to Function B, you usually need to look at the characteristics of the graph: the shape (narrower or wider) and the horizontal shift (left or right).

  1. Narrower or Wider: If Function B appears to be steeper (i.e., it narrows compared to Function A), then it is narrower. If it appears flatter, then it is wider.

  2. Horizontal Shift: If the entire graph of Function B is located to the right of Function A, then it has shifted right. If it’s to the left, then it has shifted left.

Based on these points, if you observe that Function B is indeed narrower and appears to be shifted right by 2 units compared to Function A, then the transformation can be described as:

narrower and shifted right 2 units.

This is your answer. Please confirm by checking the graph.