Graphing Logarithmic Functions

Question 1

Study the graph and the parent function, and then identify the transformations.

Revolt · Accepted Answer

✔ line A; line A; r(x) = –4 log2 (x):: line B; s(x) = log2 (x – 2):: line C

Question 2

line A✔ line Bline C

Revolt · Accepted Answer

✔ line B

Question 3

line Aline B✔ line C

Revolt · Accepted Answer

✔ line C

Question 4

Consider the functions f(x) = logb(x) and g(x) = logb(x – c).

Revolt · Accepted Answer

✔ horizontally to the right; No matter the base, when a positive value is substituted for c as compared to the parent function f(x), the graph of g(x) is translated c units .: horizontally to the right; No matter the base, when a negative value is substituted for c as compared to the parent function f(x), the graph of g(x) is translated c units .: horizontally to the left

Question 5

✔ horizontally to the lefthorizontally to the rightvertically upwardvertically downward

Revolt · Accepted Answer

✔ horizontally to the left

Question 6

Consider the functions f(x) = logb(x) and g(x) = a · logb(x).

Revolt · Accepted Answer

✔ vertical stretch; No matter the base, when a positive value is substituted for a as compared to the parent function f(x), and a > 1, the graph of g(x) results in a .: vertical stretch; No matter the base, when a positive value is substituted for a as compared to the parent function f(x), and 0 < a < 1, the graph of g(x) results in a .: vertical compression; No matter the base, when a negative value is substituted for a as compared to the parent function f(x), the graph of g(x) results in a .: reflection across the x-axis

Question 7

✔ vertical compression vertical stretch shift to the left or right a unitsreflection across the x-axis

Revolt · Accepted Answer

✔ vertical compression

Question 8

shift up or down a unitsshift to the left or right a units✔ reflection across the x-axis

Revolt · Accepted Answer

✔ reflection across the x-axis

Question 9

Study the graph and the parent function, and then identify the transformations.

Revolt · Accepted Answer

p(x) = 7 log2 (x) – 2:: line C; r(x) = –2 log2 (x) + 3:: line B; line A

Graphing Logarithmic Functions Answers

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