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Transformation of Log Functions

Authored by Lisa Lee

Mathematics

9th - 10th Grade

Transformation of Log Functions
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12 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The graph of f(x) is vertically stretched by a factor of 2, reflected across the x-axis, then translated 3 units up and 4 units left to create the graph of g(x).

The graph of f(x) is vertically stretched by a factor of 2, reflected across the x-axis, then translated 3 units down and 4 units right to create the graph of g(x).

The graph of f(x) is vertically compressed by a factor of 1/2, reflected across the x-axis, then translated 3 units up and 4 units left to create the graph of g(x).

The graph of f(x) is vertically compressed by a factor of 1/2, reflected across the x-axis, then translated 3 units down and 4 units left to create the graph of g(x).

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The graph of f(x) is reflected across the y-axis, then translated 3 units right and 2 units up to create the graph of g(x).

The graph of f(x) is reflected across the x-axis, then translated 3 units right and 2 units up to create the graph of g(x).

The graph of f(x) is reflected across the y-axis, then translated 3 units left and 2 units up to create the graph of g(x).

The graph of f(x) is reflected across the x-axis, then translated 3 units left and 2 units up to create the graph of g(x).

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The graph of  f(x) is vertically compressed by a factor of 3 and translated 4 units left to create the graph of g(x).

The graph of f(x) is vertically compressed by a factor of 3 and translated 4 units right to create the graph of g(x).

The graph of f(x) is vertically stretched by a factor of 3 and translated 4 units left to create the graph of g(x).

The graph of f(x) is vertically stretched by a factor of 3 and translated 4 units right to create the graph of g(x).

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The graph of f(x) is translated 5 units left and 4 units down to create the graph of g(x).

The graph of f(x) is translated 5 units left and 4 units up to create the graph of g(x).

The graph of f(x) is translated 5 units right and 4 units down to create the graph of g(x).

The graph of f(x) is translated 5 units right and 4 units up to create the graph of g(x).

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The graph of f(x) is vertically stretched by a factor of 3 and translated 2 units up to create the graph of g(x).

The graph of f(x) is vertically stretched by a factor of 3 and translated 2 units down to create the graph of g(x).

The graph of f(x) is vertically compressed by a factor of  1/3 and translated 2 units up to create the graph of g(x).

The graph of f(x) is vertically compressed by a factor of 1/3 and translated 2 units down to create the graph of g(x).

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The graph of f(x) is vertically stretched by a factor of 3 and translated 2 units up and 4 units right to create the graph of g(x).

The graph of f(x) is vertically stretched by a factor of 3 and translated 2 units down and 4 units right to create the graph of g(x).

The graph of f(x) is vertically compressed by a factor of 3 and translated 2 units up and 4 units left to create the graph of g(x).

The graph of f(x) is vertically compressed by a factor of 3 and translated 2 units down and 4 units left to create the graph of g(x).

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The graph of f(x) is shifted 3 units up to create the graph of g(x).

The graph of f(x) is vertical stretched than the graph of g(x).

The graph of f(x) is shifted 3 units down to create the graph of g(x).

The graph of f(x) is vertical compressed than the graph of g(x).

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