what do the a, h, and k values do in the graphs of these functions??

f(x) = a*log(x-h)+k

f(x) = a*2^(x-h) +k

i think the k is the horizontal asymptope but i dont know about the others

2 answers

k moves the graphs up a distance k
h moves the graphs left a distance h
a makes the graphs steeper
f(x-h) moves to the right by h
a makes the graph steeper if |a| > 1; flatter if |a| < 1
a flips the graph upside down if a < 0