Graphing exponential and logarithmic functions

How did the graph transform from the parent function?

y=-5(2)^(x)

• Down 5

• Vertical Stretch by 5

• Left 2

• Right 2

• Flipped/Reflected over the x-axis

Describe the transformation from the parent function.

 $f\left(x\right)=-\log\left(x\right)-3$  

• Reflected

  Shifted down by 3

• Stretched

  Shifted down by 3

• Reflected

  Shifted up by 3

• Reflected

  Shifted right by 3

Describe the transformation from the parent function.

 $f\left(x\right)=3\log\left(x-4\right)+7$  

• Stretched
  Shifted right by 4
  Shifted up by 7

• Stretched
  Shifted left by 4
  Shifted up by 7

• Stretched
  Shifted right by 4
  Shifted down by 7

• Compressed
  Shifted right by 4
  Shifted up by 7

• The function models exponential decay

The graph of $y\ =\ \log\left(x\right)^2$  is shown above. What transformations are needed for the bottom of the graph to arrive inside the third quadrant?

• Two shifts

• A shift, then a reflection

• A reflection, then a shift

• All of the above

• Vertical stretch by a factor of 2

• Reflection across the y-axis

• Reflection across the x-axis

Select all the transformations that apply.

y = log ₅ (x + 1) +1

• Horizontal shift left 1

• Horizontal shift right 1

• Vertical shift up 1

• Vertical shift down 1

what does the -1 do to the graph?

y = -1 + log₂(x)

• up 1

• down 1

• left 1

• right 1

Which equation has the transformations:

reflection over the x-axis, vertical stretch by factor 2, vertical translation up 3 units, horizontal translation left 6 units

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