
Transformations of Logarithmic Functions

Interactive Video
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Mathematics
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9th - 12th Grade
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Medium
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Standards-aligned

Liam Anderson
Used 3+ times
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Standards-aligned
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the parameter 'a' in the transformation of logarithmic functions?
It determines the horizontal shift.
It affects the vertical stretch or compression.
It controls the base of the logarithm.
It shifts the graph vertically.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the standard form of a transformed logarithmic function?
a log base b of (x - h) + k
a log base b of (x) - h - k
a log base b of (x) + h + k
a log base b of (x + h) - k
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the transformation log base 2 of (x + 2) + 3, what does the '+2' inside the logarithm indicate?
A shift to the left by 2 units.
A vertical shift downwards by 2 units.
A shift to the right by 2 units.
A vertical shift upwards by 2 units.
Tags
CCSS.HSF-IF.C.7E
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in graphing a transformed logarithmic function?
Reflect the graph over the x-axis.
Identify the base of the logarithm.
Create a table of values for the parent function.
Apply the vertical shift.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the new x-values when applying a horizontal shift to a logarithmic function?
Divide the original x-values by the shift value.
Add the shift value to the original x-values.
Subtract the shift value from the original x-values.
Multiply the original x-values by the shift value.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the y-values after applying a vertical shift?
Add the shift value to the original y-values.
Subtract the shift value from the original y-values.
Multiply the original y-values by the shift value.
Divide the original y-values by the shift value.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the effect of a negative 'a' value in the transformation of a logarithmic function?
It reflects the graph over the x-axis.
It shifts the graph to the right.
It reflects the graph over the y-axis.
It shifts the graph upwards.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
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