Is this pair of triangles congruent and if so what theorem applies and describes the series of rigid motions

which  best  describes the transformation from the graph of  f(x) =  x2  to the graph of  f(x) = (x  – 3)2  – 1?   left 3 units, down 1 unitleft 3 units, up 1 unitright 3 units, down 1 unit  right 3 units, up 1 unit

1. what is the phythaforean theorem? 2.what do we use it for? 1.what is the distance formula ? 2.what do we use it for?

Marco has $38.43 dollars in his checking account. his checking account is linked to his amazon music account so he can buy music. the songs he purchases cost $1.29. part 1: write an expression to describe the amount of money in his checking account in relationship to the number of songs he purchases. part 2: describe what the variable represents in this situation.