Question

the function f(x) =ln x is transformed into the equation f(x) =2.5 ln x.fill in the correct responses in the blanks below. f(x) = 2.5 ln x is a _________ of theparent function by a factor of ________.

Answer 1

The graph of the functions is

Blue color line for f(x)=2.5 In x

Red color line for f(x)=In x

Here x value is not changed

so it is not horizontally compression

The function f(x) = 2.5 ln x is vertically expension

The factor =2.079-5.199=3.12

Hence f(x) = 2.5 ln x is a vertical expension of the parent function by a factor of 3.