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.'

Question

Describe the transformation from Function A
to Function B
. Enter the value of the transformation.

(1 point)
The graph is narrower and shifted to the right by (___)
units.

Answer 1

To describe the transformation from Function A (solid) to Function B (dotted), we need to determine how the graph of Function A has changed to become Function B.

If Function B is described as narrower and shifted to the right, this typically involves a horizontal scaling and a horizontal shift.

1. Narrower: This usually indicates that the scaling factor for x has increased, often represented as a coefficient in front of x in the function's equation. For example, if Function A was \( f(x) \) and Function B is \( f(kx) \) where \( k > 1 \), then the graph is narrower.

2. Shifted to the right: A shift to the right means that the graph has been translated horizontally. This is represented as a transformation of the form \( f(x - h) \), where \( h > 0 \) indicates a shift to the right.

To answer the specific question about the value of the horizontal shift, you would need to know the exact equations of Functions A and B.

Assuming you have determined the horizontal shift from the graph to be \( h \) units, you would plug that value into the blank:

The graph is narrower and shifted to the right by (h) units.

Without specific details about the functions’ equations or the actual distance of the shift from inspecting the graph, it’s impossible to provide a numerical value. If you have that information, you can insert it accordingly. If you need further assistance on calculations, feel free to ask!