Can you analyze this game?

1.Kf5 means Black can draw...1.Ke4 or Ke3 are the ways for White to win, cutting off Black's c pawn.

White wins easily by Ke4 or Ke3, rounding up the pawns or preparing to Q his own with check. One key line:
1.Ke4 b5 2.Kd4 Ke8 3.Kc3! Kd8 4.d7! Ke7 5.Kb4 Kd8 6.Kxb5! c3 7.Kc6 c2 8.Kd7 c1(Q) 9.e7#
White wins easily by Ke4 or Ke3, rounding up the pawns or preparing to Q his own with check. One key line:
1.Ke4 b5 2.Kd4 Ke8 3.Kc3! Kd8 4.d7! Ke7 5.Kb4 Kd8 6.Kxb5! c3 7.Kc6 c2 8.Kd7 c1(Q) 9.e7#
how about:
1.Ke4 b6 or 1.Ke4 Ke8 ??

Is that really a game you played? That position, or ones very similar, are usually given as a puzzle where the losing side is mated just like SmyslovFan showed.