Answer:
For a function f(x), a vertical stretch of scale factor K is written as:
g(x) = k*f(x)
And for a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive, the translation is up
if N is negative, the translation is down.
1) We have the function:
y = f(x) = 5^(x - 2)
A vertical stretch of factor 3 will be:
y = g(x) = 3*f(x) = 3*(5)^(x - 2)
2) We have the function:
y = f(x) = 7.2^x
A translation up of 8 units will be written as:
y = g(x) = f(x) + 8 = 7.2^x + 8
