Practice transformation on radical functions

What is the inverse of a linear function?

• The inverse of a linear function is a function that undoes the original function, obtained by swapping the x and y variables.

• The inverse of a linear function is a function that adds a constant to the original function.

• The inverse of a linear function is a function that squares the original function.

• The inverse of a linear function is a function that multiplies the original function by a constant.

What is the inverse of a quadratic function?

• The inverse of a quadratic function is a linear function.

• The inverse of a quadratic function is an exponential function.

• The inverse of a quadratic function is a square root function or a quadratic function with the coefficients reversed.

• The inverse of a quadratic function is a cubic function.

If a linear function is given by f(x) = 2x + 3, what is its inverse function?

• (x - 3)/2

• 3x + 2

• 2x - 3

• (x + 3)/2

If an exponential function is given by f(x) = 2^x, what is its inverse function?

• f^(-1)(x) = x^2

• f^(-1)(x) = log2(x)

• f^(-1)(x) = 2/x

• f^(-1)(x) = ln(x)

• Shift Left 4

  and

  Shift Down 6

• Shift Left 4

  and

  Shift Up 6

• Shift Right 4

  and

  Shift Down 6

• Shift Up 4

  and

  Shift Left 6

Identify the transformations: 

• Stretch of 3; right 3; up 3
• right 3; up 3
• left 3; down 3
• right 3; down 3

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1
• y = √(x + 5) - 1
• y = √(x - 5) + 1
• y = √(x + 5) + 1

Which of these equations shifts a radical equation left 3 times?

• y = √(x) + 3
• y = √(x) - 3
• y = √(x + 3)
• y = √(x - 3)