Does the point (3, 83) satisfy the equation y = x2 – 6x – -92?

Plug in 83 for y and 3 for x
83 = 3^2 - 6 (3) + 92
83 = 9 - 18 + 92
83 = -9 + 92
83 = 83 so it works

83=(3)2-6(3)-(-92)
83=6-18-(-92)
the two negative make a positive
83=(-12)+92
83=80
the point does not satisfy

A’b’c’ are the coordinates to the new location of the transformed triangle abc. find the distance between the coordinates points to use for your calculations.