Question

the function ( f(x)=log x ) is transformed into the equation ( f(x)=4.3 log x ).
select from the drop - down menus to correctly identify the parameter and the effect the parameter has on the parent function.
the function ( f(x)=4.3 log x ) is a choose... of the parent function by a factor of choose...
vertical compression
vertical stretch

Explanation:

Step1: Recall transformation rules

For a function \(y = a\cdot f(x)\), if \(|a|> 1\), it is a vertical stretch. If \(0<|a|<1\), it is a vertical compression.

Step2: Analyze the given function

Here, the parent function is \(y = \log x\) and the transformed function is \(y=4.3\log x\). Since \(a = 4.3>1\).

Answer:

The function \(f(x)=4.3\log x\) is a vertical stretch of the parent function by a factor of \(4.3\).