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 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!