Logarithmic Functions Transformation (2A.5A)

Logarithmic Functions Transformation (2A.5A)

9th - 10th Grade

12 Qs

quiz-placeholder

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Logarithmic Functions Transformation (2A.5A)

Logarithmic Functions Transformation (2A.5A)

Assessment

Quiz

Mathematics

9th - 10th Grade

Medium

Created by

Ngoc Truong

Used 12+ times

FREE Resource

12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If f(x)=logxf\left(x\right)=\log x  is changed to g(x)=12f(x+4)+3g\left(x\right)=-\frac{1}{2}f\left(x+4\right)+3  , how is the graph transformed?

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

If f(x)=logxf\left(x\right)=\log x is changed to g(x)=f((x+3))+2g\left(x\right)=f\left(-\left(x+3\right)\right)+2  , how is the graph transformed?

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

If f(x)=logxf\left(x\right)=\log x is changed to g(x)=3f(x4)g\left(x\right)=3f\left(x-4\right)  , how is the graph transformed?

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

If f(x)=logxf\left(x\right)=\log x is changed to g(x)=f(x5)4g\left(x\right)=f\left(x-5\right)-4  , how is the graph transformed?

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

If f(x)=logxf\left(x\right)=\log x is changed to g(x)=13f(x)2g\left(x\right)=\frac{1}{3}f\left(x\right)-2  , how is the graph transformed?

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

If f(x)=logxf\left(x\right)=\log x is changed to g(x)=3f(x4)2g\left(x\right)=3f\left(x-4\right)-2  , how is the graph transformed?

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

If f(x)=logxf\left(x\right)=\log x is changed to g(x)=f(x)3g\left(x\right)=f\left(x\right)-3  , how is the graph transformed?

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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