A coordinate plane's axes range from negative 10 to 10, both by 1-unit increments. 2 lines are plotted, 1 solid and 1 dotted. The dotted line is labeled 'Function upper B' and the solid line is labeled 'Function upper A.'

Question

Describe the transformation from Function A
to Function B
. Select the option number that corresponds to the correct direction of the translation after the reflection. Then enter the number of units that the function was translated.

Option 1: down

Option 2: up

(1 point)
The function is reflected over the y-axis and then shifted (__)
by (__)
units.

Answer 1

To describe the transformation from Function A to Function B, we need to consider two steps: the reflection and the translation.

1. Reflection: The function is reflected over the y-axis. This means that if a point (x, y) on Function A is reflected over the y-axis, it becomes (-x, y).

2. Translation: After reflecting Function A, the resulting function is then translated either up or down.

To determine the direction of the translation (up or down) and the number of units, you would need to visually compare the positions of Functions A and B on the coordinate plane.

Given the options and assuming you are observing the graph:

• If Function B is above Function A after reflecting, then the translation would be "up."
• If Function B is below Function A after reflecting, then the translation would be "down."

Suppose, for example, after reflection, Function B is 3 units above Function A, your answer would be:

The function is reflected over the y-axis and then shifted (up) by (3) units.

So the final answer choice would correspond to:

• Direction of translation: Option 2 (up)
• Number of units: 3 (or whatever the distance is based on your observation)

Therefore, you will fill in the appropriate numbers based on your observations on the graph.