Transformations Function Notation

How do we represent a vertical stretching by scale factor 2 using function notation?

How do we represent a horizontal compression by scale factor 3 using function notation?

Which transformation is shown here (from red to purple)?

• Translation 2 units left

• Translation 2 units right

• Reflection across the x-axis

• Reflection across the y-axis

How do we represent a translation 2 units to the left using function notation?

The graph of g(x) is a
(a)   translation ​ (b)   units ​ ​ (c)   the graph.

• vertical

• 2

• 1

• up

• down

• left

• right

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

• Shifted up 5 units
  Shifted right 3 units
  Stretched vertically by a factor of 3

• Shifted up 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3

• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3

• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 1/3

(Order matters) Select all possible combinations that correctly transforms:

y = g(x) to y = - 2g(x + 6) - 10

• Vert stretch by 2

  Reflect over horizontal axis

  Shifted down 10 units

  Shifted left 6 units

• Reflect over x-axis

  Vert stretch by 2

  Shifted left 6 units

  Shifted down 10 units

• Shifted down 10 units

  Shifted left 6 units

  Reflect over x-axis

  Vert stretch by 2

• Reflect over x-axis

  Vert stretch by 2

  Shifted down 10 units

  Shifted left 6 units

What is the transformation described?

• horizontal shift to the right 4 and vertical shift down 2

• horizontal shift to the left 4 and vertical shift up 2

• horizontal shift to the right 4 and vertical shift up 2

• horizontal shift to the left 4 and vertical shift down 2

Let f(x)=√(x) and g(x)= -3√(x-2)+1. Describe g(x) in terms of f(x):

• flip over x axis, vertical stretch, right 2, up 1

• flip over y axis, vertical compression, left 2, up 1

• flip over x axis, vertical stretch, left 2, up 1

• flip over y axis, vertical compression, right 2, up 1

What will happen to this function as compared to the parent function y=x?

• Flips

• More Steep

• Shifts up 3

• Down 5