Linear Transformations

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

• Vertical stretch by a factor of 4

• Vertical compression by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal compression by a factor of 1/4

Describe the transformation from the parent function: y = 3x + 5

• Steeper; Shift up 5 units

• Steeper; Shift down 5 units

• Flatter; Shift up 5 units

• Flatter; Shift down 5 units

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

• down 5 units

• up 5 units

• right 5 units

• left 5 units

What are the transformations shown here?

-f(x) + 3

• reflection, up 3

• reflection, down 3

• less steep, left 3

• more steep, right 3

• Vertical Translation Up 5 units

• Vertical Translation Down 5 units

• Vertical Stretch by a factor of 5

• Vertical Compression by a factor of 5

• Reflection over the x-axis

• Vertical Translation Up 2 units

• Vertical Translation Down 2 units

• Vertical Stretch by a factor of 2

• Vertical Compression by a factor of 2

• Reflection over the x-axis

• Vertical Translation Up 1/3 units

• Vertical Translation Down 1/3 units

• Vertical Stretch by a factor of 1/3

• Vertical Compression by a factor of 1/3

• Reflection over the x-axis