Logarithmic Transformations

 $y\ =\ \frac{1}{2}\log\left(-x+1\right)-2$  
Select all that are correct 

• vertical stretch by 2

• horizontal shrink 1

• shift left by 1

• shift down 2

• flip over x axis

 $y\ =\ -2\log_{ }\left(\frac{1}{3}x+1\right)$  
Select all that are correct

• flip over x-axis

• flip over y-axis

• horizontal shrink by 1/3

• vertical stretch by 2

• shift left 1

What letter do you look at to see if the log has shifted left or right?

• a

• c

• h

• k

What letter do you look at to see if the log has shifted up or down?

• a

• c

• h

• k

What letter do you look at to see if there has been a vertical shrink or stretch?

• a

• c

• h

• k

What letter do you look at to see if there has been a horizontal shrink or stretch?

• a

• c

• h

• k

How do we know that a log function has been flipped?

• negative h value

• negative a or c value

• negative k value

• positive a or c value

 $y\ =\ \log\left(2x+1\right)$  
Has this function been shifted left or right?

• left

• right

• neither

 $y\ =\ \log\left(2x+1\right)$  
Has this function been shifted up or down?

• up

• down

• neither

 $y\ =\ \log\left(2x+1\right)$  
Has this function been vertically stretched or shrunk?

• stretched

• shrunk

• neither