Transformation Function Notation

Which describes the transformation of 
f(x) = x² to the graph of g(x) = x²-4?

• vertical shift up 4

• horizontal shift right 4

• vertical shift down 4

• horizontal shift left 4

f(x) = x² is transformed to f(x - 10).
Describe the transformation. Select all that apply

• up

• down

• left

• right

• vertical stretch

f(x) = x² is transformed to f(x + 30). Describe the transformation. Select all that apply

• up

• down

• left

• right

• vertical stretch

f(x) = x² is transformed to f(x) + 43.
Describe the transformation. Select all that apply

• up

• down

• left

• right

• vertical stretch

f(x) = x² is transformed to f(x) - 143. Describe the transformation. Select all that apply

• up

• down

• left

• right

• vertical stretch

f(x) = x² is transformed to -30f(x).
Describe the transformation. Select all that apply

• reflect about the x-axis

• down

• horizontal stretch

• right

• vertical stretch

f(x) = x² is transformed to -0.25f(x).
Describe the transformation. Select all that apply

• reflect about the x-axis

• down

• horizontal stretch

• right

• vertical stretch

How do we represent a reflection across the x-axis in function notation?

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

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