Transformation of Linear Function

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

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

Describe the transformation from the parent function.

• Reflection

• Vertical stretch

• Shift up 2 units

• Shift down 2 units

Describe the transformation from the parent function: y = x + 10

• Steeper by 10

• Shift up 10

• Shift down 10

• Flatter by 10

• The graph of g is less steep than the graph of f.

• The graph of g is less steep than the graph of f, and is reflected.

• The graph of g is reflected, and the y-intercept is translated down.

• The graph of g is steeper than the graph of f, and is reflected.

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 6). Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Let g(x) be the indicated transformation of f(x). Write the rule for g(x).

f(x)= - 3x + 6, vertical translation up 9 units

• g(x)= - 3x - 21

• g(x)= - 3x + 15

• g(x)= - 3x + 33

• g(x)= - 3x - 3

Let g(x) be the indicated transformation of f(x). Write the rule for g(x). f(x)= - 8x - 3, vertical translation down 5 units

• g(x)= - 8x - 8

• g(x)= - 8x + 2

• g(x)= - 8x + 37

• g(x)= - 8x - 44

• reflect over x axis and vertical stretch by 2.

• reflect over y axis and vertical stretch by 2.

• reflect over x axis and horizontal stretch by 2.

• reflect over y axis and horizontal stretch by 1/2.

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