Transformations Translations

Describe the transformation of f(x) to g(x).

Translations of functions are characterized by which type of operations? (Select all that apply)

• Adding

• Subtracting

• Multiplying

• Dividing

Describe the transformation of f(x) to g(x).

• down 5 units

• up 5 units

• right 5 units

• left 5 units

Which direction does the graph shift (slide)?

• down 5 units

• up 5 units

• right 5 units

• left 5 units

Which directions does the graph shift (slide)?

• left 7 units

• right 7 units

• up 7 units

• down 7 units

Describe the transformation of f(x) to g(x).

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

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

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

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