Question

Which of the following shows the graph of y=In(-2x)

Answer 1

Look at the picture.
Answer: The first graph.


If y = f(x), then  y = f(−x) is its reflection about the y-axis (the picture).

Other

The zeros of a function:
$\ln(-2x)=0\to e^0=-2x\to -2x=1\ \ \ |:(-2)\to x=-0.5$
Only the first graph has such a zero of a function.

Answer 2

The domain is the set of values x can take.The domain of the function y=ln(-2x) is x<0 .The range is the set of y values of the function.The range of the function is set of real numbers.y can take any value.The Vertical asymptote is x=0 or the y axis .

Among all the given graphs the first graph represents the graph of y=ln(-2x)