ALG EOC Review Day 12 Transformations of Linear Functions

What transformation is represented by f(-x)?

• Reflection about the x-axis

• Reflection about the y-axis

• Horizontal stretch by a factor of 3

• Vertical compression by a factor of 1/3

Which function represents a horizontal compression by a factor of 1/3?

• f(3x)

• 3f(x)

• f(x/3)

• 1/3 f(x)

What is the transformation applied to f(x) to get g(x) in the example provided, where g(x) = -f(x)?

• Vertical stretch

• Horizontal compression

• Reflection about the x-axis

• Reflection about the y-axis

What is the result of the transformation when the function f(x) = x is scaled by a factor of 3 to obtain g(x)?

• A) g(x) will be one-third of f(x)

• B) g(x) will be three times steeper than f(x)

• C) g(x) will be unchanged

• D) g(x) will be three times flatter than f(x)

What transformation occurs to the function f(x) = x when it is multiplied by 1/4 to get g(x)?

• A) g(x) will be four times steeper than f(x)

• B) g(x) will be unchanged

• C) g(x) will be four times flatter than f(x)

• D) g(x) will be one-fourth of f(x)

Which transformation represents a reflection of f(x) across the y-axis?

• g(x) = f(-x)

• g(x) = 3.5f(x)

• g(x) = f(1/x)

• g(x) = f(5x)

Which transformation indicates a vertical stretch by a factor of 3.5?

• g(x) = -f(x)

• g(x) = 3.5f(x)

• g(x) = f(1/x)

• g(x) = f(5x)

What does the transformation g(x) = f(5x) represent?

• Horizontal stretch by a factor of 5

• Horizontal compression by a factor of 1/5

• Vertical stretch by a factor of 5

• Vertical compression by a factor of 1/5

What type of transformation is g(x) = (3/4)f(x)?

• Horizontal stretch by a factor of (3/4)

• Horizontal compression by a factor of (4/3)

• Vertical compression by a factor of (3/4)

• Vertical stretch by a factor of (4/3)

What type of transformation results in a line with a steeper slope than the original line y = x?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression