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Learn how to graph the natural log function with a horizontal shift

Learn how to graph the natural log function with a horizontal shift

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the appearance and characteristics of logarithmic graphs, focusing on how different bases affect the graph's shape. It covers transformations, specifically horizontal shifts, and how these shifts affect the graph's asymptote. The tutorial concludes with expectations for homework, emphasizing the importance of showing shifted asymptotes.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common point through which all logarithmic graphs pass, regardless of their base?

(1, 0)

(0, 1)

(1, 1)

(0, 0)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the base of a logarithmic function affect its graph?

It alters the graph's vertical asymptote.

It changes the graph's starting point.

It affects the speed of the graph's curve.

It changes the graph's horizontal asymptote.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to a logarithmic graph when you add a constant to the variable?

The graph becomes flatter.

The graph shifts vertically.

The graph shifts horizontally.

The graph becomes steeper.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When a logarithmic graph is shifted horizontally, what happens to its asymptote?

It remains unchanged.

It shifts vertically.

It disappears.

It shifts horizontally.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After shifting a logarithmic graph 3 units to the left, what is the new position of the point (1, 0)?

(-2, 0)

(4, 0)

(-3, 0)

(1, 3)

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