Graphing Exponential function parent function: y = 2 x X is the exponent!!! What does this look like on a graph? In the parent function the horizontal asymptote is at y =0 and a critical point is at (0,1). Why?

y = ab x - h + k To be an exponential growth b must be greater than 1. The a, h, and k do the same things as they always have. a stretches and flips, h moves it left and right and k moves it up and down. This effects the asymptote and the critical point how? Find 2 points usually whatever makes the exponent = 0 and 1. and the asymptote moves with k.

y = 2 x+1 – 2 How do the transformations effect the y intercept? Plug in 0 for x and solve that is the y intercept. How do the transformations effect the domain and range? Domain is not effected. Range is effected by shifts up or down and reflections. How do the transformations effect the asymptote? Only effected by shifts up or down.

y = -2(10) x-3 How do the transformations effect the y intercept? How do the transformations effect the domain and range? How do the transformations effect the asymptote?

y = 3(2) x +3 How do the transformations effect the y intercept? How do the transformations effect the domain and range? How do the transformations effect the asymptote?