Question

describe how the graph of ( g(x)=-ln (x - 1.3) ) is related to the graph of ( f(x)=ln x ).
describe the horizontal translation of the parent function. select the correct answer below and, if necessary, fill in the answer box to complete your choice.
a. the graph of ( g(x) ) shifts the graph of the parent function ( square ) unit(s) to the right.
b. the graph of ( g(x) ) shifts the graph of the parent function ( square ) unit(s) to the left.
c. the graph of ( g(x) ) does not shift the graph of the parent function horizontally.

Explanation:

Step1: Recall the horizontal translation rule

For a function \(y = f(x - h)\), the graph of \(y = f(x)\) is shifted \(h\) units to the right.

Step2: Identify \(h\) in \(g(x)=-\ln(x - 1)\)

Here, comparing \(g(x)=-\ln(x - 1)\) with \(y = f(x - h)\) (where \(f(x)=-\ln x\)), we have \(h = 1\).

Answer:

A. The graph of \(g(x)\) shifts the graph of the parent function \(1\) unit(s) to the right.