228k views
1 vote
Which graph represents the logarithmic function?

y=ln(3x+4)+3

Which graph represents the logarithmic function? y=ln(3x+4)+3-example-1
User Alyawn
by
7.3k points

1 Answer

2 votes
ANSWER -

The graph that represents the logarithmic function y = ln(3x + 4) + 3 is a curve that passes through the point (–1, 3) and approaches the x-axis asymptotically as x approaches –4/3.

The graph of the natural logarithmic function y = ln(x) looks like:

Logarithmic Function Graph

To obtain the graph of y = ln(3x + 4) + 3, we can apply transformations to the graph of y = ln(x):

Horizontal compression by a factor of 1/3: This squeezes the graph horizontally by a factor of 1/3, making it steeper.
Horizontal shift to the left by 4/3: This moves the graph 4/3 units to the left.
Vertical shift upwards by 3: This moves the graph 3 units up.
Therefore, the graph of the logarithmic function y = ln(3x + 4) + 3 would look like:

Logarithmic Function Graph with transformations
User Alexander Ferreras
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.