Question

PLZZZZZZ HELP ME WITH THIS I WILL GIVE 100 POINTS IF THE ANSWER IS WELL EXPLAINED PLZZZZ HELP!!!!!

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Anna is writing a computer game program. She needs to “move” a square 2 units to the left and 3 down by applying a translation rule to the coordinates of the vertices. The square is aligned with the coordinate axes with one corner of the pre-image square at the origin and the diagonally opposite corner at (4,4). After the transformation what will be the coordinates of the image of each of the four vertices.



A. Write the transformation rule for this particular translation. Use the format given in class.


B. Show the math work that is used to calculate the new coordinates mathematically. State the final coordinate pairs. There should be four pairs of coordinates.


C. Graph, sketch, or draw a picture of the situation. Sketch (on a grid) the pre-image and image of the square. Be sure to include the line segments that form the sides of the square. You MUST label all eight coordinate pairs on your sketch or graph. (You may use Desmos or graph paper for this part. You may even include a link to your Desmos graph.)

Answer 1

The original square has one verticles at the origin, which is at (0,0), and the opposite corner at (4,4), we draw the square show below:

The transformation is moving each verticles 2 unit left and 3 units down.

• In term of x-axis translation (horizontal transformation), we move 2 units left or, -2.
• In term of y-axis translation ( vertical transformation), we move 3 units down, or -3.

The tranformation rulw can be written as:

`x = x - 2 \\ y = - 3`

From the graph shown above, we write the 4 cordinate pairs:

(0,0)

(4,0)

(4,4)

(0,4)

Aplying the transformation rule, we subtract 2 from x cordinate and subtract 3 from each y cordinate.

The new transformed cordinate are:

(0,0) >>>>>> (0-2, 0-3) >>>>>>> (-2, -3)

(4,0) >>>>>> (4-2, 0-3) >>>>>>> (2, -3)

(4,4) >>>>>> (4-2, 4-3) >>>>>>> (2, 1)

(0,4) >>>>>> (0-2, 4-3) >>>>>>> (-2, 1)

We name the first four cordinates A,B,C and D, respectively.

The graph ia shown below: