Graphing Exponential and Logarithmic Functions

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

• Down 5

• Right 5

• Left 5

• Up 5

• k has been shifted 6 units right and 4 units down

• k has been shifted 6 units right and 4 units up

• k has been shifted 6 units left and 4 units down

• k has been shifted 6 units left and 4 units up

• Down 9

• Left 9

• Right 9

• Up 9

• The graph has been shifted 3 units up

• The graph has been shifted 3 units to the right

• The graph has been shifted 2 units right

• The graph has been shifted 3 units left

Describe the transformation on $y=\left(\frac{1}{3}\right)^x$  if it becomes $y=-\left(\frac{1}{3}\right)^{\left(x-7\right)}+2$  

• Reflection over x-axis, left 7, up 2

• Reflection over x-axis, right 7, up 2

• Reflection over x-axis, right 2, down 7

• Reflection over y-axis, right 7, up 2

Tags

CCSS.HSF.BF.B.3

• Decay

• Growth

• Growth

• Decay