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Homework 8.8

Last updated about 1 month ago

3 questions

5

Question 1

1.

From the basic logarithmic equation f(x)=log(x), we transform it to: f(x)=4\cdot\log(x-2)+5. Pick the options which best describe how the graph is transformed:
Because of the 4, the graph is __________
Because of the (x-2), the graph is __________
Because of the +5, the graph is __________

3

2

Question 2

2.

From the basic logarithmic equation f(x)=log(x), fill in the blanks that will shift the new equation down 3 spaces, to the left 4 spaces and make it steeper by a factor of 5:
f(x)=a\cdot\log(x-h)+k
a=_______ 
h=_______ 
k=_______ 

Question 3

3.

Pick the graph that best matches the equation:
f(x)=0.5\cdot\log(x+2)-1

Note: The original graph of f(x)=\log(x) will be provided in each picture for comparisons sake and will be black in color