Transformations of Exponential Functions

Question 1

For exponential functions f(x)=ab^k(x-d)+c

what does the a value do?

Answer 1

a provides vertical stretch or compression. If it is negative it flips over x-axis

Question 2

For exponential functions f(x)=ab^k(x-d)+c

what does the k value do?

Answer 2

k provides horizontal stretch if k is less than 1 or compression if k is greater than 1. If it is negative it flips over y-axis

Question 3

For exponential functions f(x)=ab^k(x-d)+c

what does the c value do?

Answer 3

c provides vertical shift

Question 4

For exponential functions f(x)=ab^k(x-d)+c

what does the d value do?

Answer 4

d provides horizontal shift. Left if positive, right if negative

Question 5

What if there is a number in front of and behind x?

Answer 5

factor. ex- 2x-8 = 2(x-4) or -x+2 = -(x-2)