Define each of the 4 transformations listed below. Explain what happens to an image when you apply each of the transformations:(x,y) -> (3/8x, 3/8y)(x,y) -> (8/3x, 8/3y)(x,y) -> (x + 5, y + 5)(x,y) -> (x - 5, y - 5)

[tex]\begin{gathered} (x,y)\rightarrow(\frac{3}{8}x,\frac{3}{8}y) \\ \text{This is a dilation},\text{ and this means the image has been dilated by a factor of }\frac{3}{8} \\ \text{When this transformation is applied the image reduces in size} \end{gathered}[/tex]

(2)

[tex]\begin{gathered} (x,y)\rightarrow(\frac{8}{3}x,\frac{8}{3}y) \\ \text{This too is a dilation and the image has b}en\text{ dilated by a factor of }\frac{8}{3} \\ \text{When this transformation is applied the image increases in size} \end{gathered}[/tex]

(3)

[tex]\begin{gathered} (x,y)\rightarrow(x+5,y+5) \\ This\text{ is a translation and the coordinates of the image has been moved } \\ To\text{ the right of the x axes and upward on the y axes} \\ \text{When this transformation is applied the image moves upwards and towards the right side} \\ In\text{ other words, the image changes location} \end{gathered}[/tex]

(4)

[tex]\begin{gathered} (x,y)\rightarrow(x-5,y-5) \\ \text{This is also a translation and the coordinates of the image has been moved} \\ To\text{ the left of the x axes and downwards on the y axes} \\ \text{When this transformation is applied the image changes location towards the left and downwards} \end{gathered}[/tex]