A waves amplitude is .5 meters if its amplitude increased by 1 meter how much does its energy change?

The energy of a wave is proportional to the square of its amplitude. If the amplitude is initially 0.5 meters and increases by 1 meter, the new amplitude would be 1.5 meters. Hence, the energy would change by (∆A/A)^2 = (1/0.5)^2 = 4 times the original energy.