Graphs of Functions (Part 2A) - Transformations

Identify the transformation.

• translation by k units in the positive y-direction
• reflection in the x-axis
• reflection in the y-axis
• translation by k units in the positive x-direction
• translation by k units in the negative x-direction

Identify the transformation.

• scaling parallel to the y-axis by a factor of k
• reflection in the x-axis
• reflection in the y-axis
• translation by k units in the positive x-direction
• translation by k units in the negative x-direction

Identify the transformation.

• scaling parallel to the x-axis by a factor of (1/k)
• reflection in the x-axis
• reflection in the y-axis
• translation by k units in the positive x-direction
• translation by k units in the negative x-direction

Identify the transformation.

• reflection in the x-axis
• reflection in the y-axis
• translation by k units in the positive x-direction
• translation by k units in the negative x-direction
• translation by k units in the positive y-direction

Identify the transformation.

• reflection in the y-axis
• reflection in the x-axis
• translation by k units in the positive x-direction
• translation by k units in the negative x-direction
• translation by k units in the positive y-direction

Identify the transformation.

• translation by k units in the negative x-direction
• reflection in the x-axis
• reflection in the y-axis
• translation by k units in the positive x-direction
• translation by k units in the positive y-direction

Name the function in red.

• y = f(x) + k, where k > 0
• y = - f(x), where k > 0
• y = f(- x), where k > 0
• y = f(x) - k, where k > 0
• y = f(x + k), where k > 0

Name the function in red.

• y = f(x + k), where k > 0
• y = - f(x), where k > 0
• y = f(- x), where k > 0
• y = f(x) + k, where k > 0
• y = f(x) - k, where k > 0

Name the function in red.

• y = k f(x), where k > 0
• y = - f(x), where k > 0
• y = f(- x), where k > 0
• y = f(x) + k, where k > 0
• y = f(x) - k, where k > 0

Name the function in red.

• y = f(kx), where k > 0
• y = - f(x), where k > 0
• y = f(- x), where k > 0
• y = f(x) + k, where k > 0
• y = f(x) - k, where k > 0