Transformations Online Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
4 of 204 of 20 Items

Question
Use the image to answer the question.

A coordinate plane shows two points upper B and upper B prime plotted in quadrant 1 and quadrant 2, respectively. Both axes range from negative 5 to 5 in increments of 1.

On this coordinate plane, point B
is translated to point B′
. Which functions describe the two translations?

(1 point)
Responses

f(x)=x−5
and g(y)=y+3
f left parenthesis x right parenthesis equals x minus 5 and g left parenthesis y right parenthesis equals y plus 3

f(x)=x−6
and g(y)=y+2
f left parenthesis x right parenthesis equals x minus 6 and g left parenthesis y right parenthesis equals y plus 2

f(x)=x+6
and g(y)=y−2
f left parenthesis x right parenthesis equals x plus 6 and g left parenthesis y right parenthesis equals y minus 2

f(x)=x−2
and g(y)=y+6

Answer 1

To determine the correct functions that describe the translations from point B to point B', we need to analyze the movements of the points on the coordinate plane.

1. Identifying Coordinates: First, identify the coordinates of point B and point B'. Let's denote the coordinates of point B as (x1, y1) and the coordinates of point B' as (x2, y2).

2. Translation in the x-direction: The translation function in the x-direction can be determined by the change in the x-coordinate:

   • \( f(x) = x + (x2 - x1) \)
   • This can be expressed in simpler terms if we find the exact difference.

3. Translation in the y-direction: Similarly, the translation function in the y-direction can be determined by the change in the y-coordinate:

   • \( g(y) = y + (y2 - y1) \)
   • This also simplifies with the exact difference.

4. Calculating Differences: Calculate the differences based on the coordinates identified in step 1.

Since I cannot see the specific coordinates or the visual representation of the points on a coordinate plane based on your description, you should match the translations described by the choices available to the identified movements from point B to point B'.

Using the descriptions in the multiple-choice options, the correct translations will be the one where:

• The x-function should reflect the actual horizontal movement (i.e., how many units to add or subtract).
• The y-function should reflect the actual vertical movement (i.e., how many units to add or subtract).

By examining your choices, calculate or infer based on the provided options until you find one that correctly matches the translation determined in your earlier analysis.

Without the specific coordinates, I cannot provide the exact functions, but you can apply this method to select the correct answer given your problem statement.