Determine g(x+a)−g(x) for the following function. g(x)=2x^2−4x

Question

I need to determine g(x+a)-g(x) for the following function. g(x)=2x^2-4x

Answer:

g(x+a)-g(x)=

Answer 1

g(x) = 2x² - 4x

g(x+a) - g(x) = 2(x+a)² - 4(x+a) - (2x² - 4x) = 2(x² + 2xa + a²) - 4x - 4a - 2x² + 4x = 4xa + 2a² - 4a