I need help with understanding what how to figure this out to do it myself.

We can get B from A, doing the following steps:
Step 1:
Translate A k units up
[tex](x,y)->(x,y+k)[/tex]Step 2:
Translate A h units left
[tex](x,y)->(x-h,y)[/tex]Step 3:
Rotate A approximately 45 degrees counter-clockwise:
[tex]\begin{gathered} x^{\prime}=x\cos (45)-y\sin (45) \\ y^{\prime}=x\sin (45)+y\cos (45) \end{gathered}[/tex]