Linear Transformations

This is the parent function f(x). If the line, g(x), is translated 3 units up, what would the equation of the line be?

• f(x) + 3

• f(x) - 3

• 3f(x)

• -3f(x)

This is the parent function f(x). If the line, g(x), is reflected and translated 2 units down, what would the equation of the line be?

• f(x) + 2

• -f(x) - 2

• -f(x) + 2

• f(x) - 2

This is the parent function f(x). If the line, g(x), is less steep, what could the equation of g(x) be?

• 4f(x)

• 1/4f(x)

• -4f(x)

• f(x) - 4

What function is best represented by the graph of g? (Hint - graph of g is less steep than graph of f)

• f(x) - 3

• f(-x)

• 1/3f(x)

• 3f(x)

This is the parent function f(x). If the line, g(x), is more steep, what could the equation of g(x) be?

• -f(x)

• 5f(x)

• 1/5f(x)

• f(x) - 5

What are the transformations shown here?

-f(x) + 3

• reflection, up 3

• reflection, down 3

• less steep, left 3

• more steep, right 3

What are the transformations shown here?

-f(x + 2)

• reflection, right 2

• reflection, left 2

• less steep, up 2

• more steep, up 2

What are the transformations shown here?

3f(x) - 2

• more steep, down 2

• less steep, down 2

• more steep, reflection

• more steep, up 2

What are the transformations shown here?

-f(1/5x)

• more steep, down 5

• less steep, down 5

• more steep, reflection

• less steep, reflection

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f
• The graph of f is a horizontal translation two units left of g
• The graph of g is a vertical stretch by a factor of 2 of the graph of f
• The graph of g is a reflection of the graph of f