Linear Function Transformations

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Which equation transforms f(x) = x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

• f(-2x - 4)

• f(-1/2x) - 4

• -f(2x) - 4

• -f(1/2x) - 4

Describe how the graph g(x) compares with f(x).

f(x) = 5x + 2

g(x) = 5(x + 7) + 2

• Up 7

• Down 7

• Left 7

• Right 7

Describe how the graph g(x) compares with f(x).

f(x) = 20x + 5

g(x) = 20(x - 3) + 5

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?

• The graph of f is shifted 15 units to the right to create the graph of g.

• The graph of f is shifted 15 units down to create the graph of g.

• The graph of f is shifted 15 units up to create the graph of g.

• The graph of f is shifted 15 units to the left to create the graph of g.

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

Name the transformation(s):

f(x) = -x + 8

g(x) = x + 4

• Reflection

• Reflection, vertical shift down 4

• Vertical shift down 4

• Reflection, vertical shift up 4

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

• The graph of g is steeper than the graph of f.

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

• The graph of f is shifted 2 units up to create the graph of g.

• The graph of f is shifted 2 units to the right to create the graph of g.

How did the equation shift from the parent function? y=(x)+2

• Shift up 2

• Shift down 2

• steeper

• flipped