Hello, I've been working on a C++ program that involves classes. I have completed the program, but I need help in one of the specs that says draw a picture of it. I will post the program specs, but like I said, I have it coded, I will supply the output that needs to be drawn by hand. Thank you for your time.

Create the "point" class as shown in the text with

1. data members are the one listed in the text book plus the new ones below

Methods in the text: shift, rotate90, rotations_needed, distance, middle

2. Default "constructor" with two arguments for x and y coordinates

3. Add the following methods:

Translation: (x,y) translated to (x,y) by adding x to x and y to y value (x,y) = (x+x, y+y) where x & y are int + or or 0 values

Scaling: (x, y) = (xx, yy) (multiply) where m > 1 makes larger, m 0.0 to 1.0 makes smaller

2147483647. ( d) = ( x cos d y sin d, x sin d + y cos d) where d is the degrees to rotate.

Shearing: (x, y) = (x+x, y) to shear in the x direction

(x, y+y) to shear in the y direction

Write a main program that will test the above implementation of points class and that will convince me your points class is correct. Test all methods in the Points class and show results.

Also, set up a box with 4 points: (2,2) (2,5) (4,5) (4,2)

1. Print out the points for the box.

2. Print out the points for the box after Translating it x=2 and y=1 distance.

3. Continuing with new set of box points, print out the box after scaling x by 2 and y by 0.5

4. Original box pts: print out the box after rotating the box by 30 degrees then print again after rotation another 60 degrees. (Note: degrees may need to be converted to radians?)

5. Original box pts: print out the box after shearing in the x direction 1.5

6. Original box pts: print out the box after shearing in the y direction 1.7

Print out and label each of the outputs above.

For each output of each box, also draw a picture of the new box (nice accurate boxes) (This is where you take the output of the program and plot the points on paper and show everything the output is doing.)

Here is the output that needs to be hand drawn:

Box is - A: (2,2) B: (2,5) C: (4,5) D: (4,2)

Translating x=2 , y=1 A: (4,3) B: (4,6) C: (6,6) D: (6,3)

Scaling x=2 , y=.5 A: (8,1.5) B: (8,3) C: (12,3) D: (12,1.5)

Rotate 30 degree0.52381 A: (6.17709,5.30034) B: (5.42681,6.59922) C: (8.89049,8.59995) D: (9.64077,7.30107)

Rotate 60 degree A: (-1.50506,7.99905) B: (-3.00506,7.9981) C: (-3.00759,11.9981) D: (-1.50759,11.999)

Shering x direction 1.5 A: (-0.00505766,7.99905) B: (-1.50506,7.9981) C: (-1.50759,11.9981) D: (-0.00758664,11.999)

Shering y direction 1.7 A: (-0.00505766,9.69905) B: (-1.50506,9.6981) C: (-1.50759,13.6981) D: (-0.00758664,13.699)