Graphing logarithmic equations

Graphing logarithmic equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Easy

Created by

Wayground Content

Used 1+ times

FREE Resource

The video tutorial explains how to graph logarithmic functions by applying transformations. It begins with identifying shifts in the graph based on the equation, then discusses the parent function and converting it to exponential form. The tutorial continues with graphing points, identifying asymptotes, and shifting the graph. Finally, it covers updating the domain, range, and asymptote after transformations.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What transformation is applied to the graph when the equation includes 'X - 4'?

Shift 2 units down

Shift 4 units to the left

Shift 4 units to the right

Shift 2 units up

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the '1/2' coefficient affect the parent function of the logarithmic equation?

It shifts the graph vertically

It compresses the graph horizontally

It stretches the graph vertically

It compresses the graph vertically

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the logarithm in the parent function?

4

2

6

8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When creating a table of values, which x-values are typically chosen for the graph?

X = 0 and X = 2

X = 1 and X = 6

X = 3 and X = 5

X = 2 and X = 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new asymptote of the graph after applying the transformations?

X = 6

X = 4

X = 2

X = 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the range of the graph change after the transformations?

From -Infinity to 0

From 0 to Infinity

From 0 to 4

From -Infinity to Infinity

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the transformed graph?

From 6 to Infinity

From 0 to Infinity

From 2 to Infinity

From 4 to Infinity

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