Functions (Exponential and Logarithmic)

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if you graph y = -3 + log₂(x + 1), what's the equation of the asymptote?

• the y axis

• x = 1

• x = -1

• there is no asymptote!

Which function has an intercept at (-1,0)?

• f(x)=ln x

• g(x)=e^x

• h(x)=-e^x

• j(x)=ln(-x)

Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

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The graph of a logarithmic function is given. Select the function for this graph

• f(x) = log₃x

• f(x) = -log₃x

• f(x) =log₃(-x)

• f(x) = log₃(-x+1)

Identify the transformation applied to the function f(x) = log(x) to obtain the function g(x) = log(x-3) + 2.

• Horizontal shift to the right by 3 units and a vertical shift upwards by 2 units

• Vertical shift to the left by 3 units and a horizontal shift upwards by 2 units

• No transformation applied

• Vertical shift to the right by 3 units and a horizontal shift downwards by 2 units

Which of the following transformations is correct from the parent function of f(x)=1.75^x?

f(x)=3(1.75)^x-4+6

• shrink by 3

  left 4

  up 6

• stretch by 3

  left 4

  up 6

• stretch by 3

  right 4

  up 6

• shrink by 3

  right 4

  up 6

Describe the transformations of f(x)= -log₂(x+1)

• left 1

• left one & reflected over the y-axis

• left one & reflected over the x-axis

• right one & reflected over the x axis

How did the graph transform from the parent function?

• Right 3, Up 1

• Left 1, Down 3

• Left 3, Up 1

• Right 3, Down 1

What are the transformations of the function when compared to its parent function?

• Translate right 1 unit and up 5 units

• Translate right 1 unit and down 5 units

• Translate left 1 unit and up 5 units

• Translate left 1 unit and down 5 units