Transformations of Linear Functions Explained

What is the parent function for linear equations?

• f(x) = x

• f(x) = 1/x

• f(x) = 2x + 3

• f(x) = x^2

Which of the following best describes a translation?

• A graph shifting up or down

• A graph rotating around a point

• A graph stretching horizontally

• A graph reflecting across the y-axis

If the equation y = x is transformed to y = x + 2, what type of transformation has occurred?

• Reflection

• Rotation

• Dilation

• Translation

What happens to the graph of y = x when it is transformed to y = 2x?

• It reflects

• It rotates

• It shifts down

• It shifts up

Which transformation is described as a 'spin' around a point?

• Rotation

• Reflection

• Dilation

• Translation

What is the result of reflecting the graph of y = 4x across the y-axis?

• y = 4x + 2

• y = -2x

• y = -4x

• y = 2x

How do you find the reflection of the equation y = 3x + 1?

• Add 2 to the y-intercept

• Subtract 2 from the y-intercept

• Change the slope to its reciprocal

• Change the sign of the slope

If the equation y = x is transformed to y = -5x, what type of transformation has occurred?

• Translation

• Rotation

• Reflection

• Dilation

What type of transformation occurs when y = x is changed to y = x + 3?

• Rotation

• Reflection

• Dilation

• Translation

What is the reflection of the equation y = -2/3x + 2?

• y = -2/3x + 4

• y = 2/3x - 2

• y = -2/3x - 2

• y = 2/3x + 2