Transformation Functions Algebra

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

• Graph g rotated

• Graph g translated down 4 units

• Graph g translated up 4 units

• Graph g reflected

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

• Vertical stretch and shift up 11

• Horizontal shrink and shift down 11

• Vertical shrink and shift up 11

• Horizontal stretch and shift down 11

• The graph of g is steeper than the graph of f, and the y-intercept has been translated up.

• The graph of g is less steep than the graph of f, and the y-intercept has been translated up.

• The graph of g is less steep than the graph of f, and the y-intercept has been translated down.

• The graph of g is steeper than the graph of f, and the y-intercept has been translated down.

Let g(x) be the indicated transformation of f(x). Write the rule for g(x). f(x)= 12x + 18, vertical stretch by a factor of 3

• g(x)= 36x + 54

• g(x)= 4x + 6

• g(x)= 36x + 18

• g(x)= 4x + 18

• vertical stretch factor 2 and translate up 3

• vertical stretch factor 2 and translate left 3

• vertical stretch factor 2 and translate down 3

• translate right 2 and up three

A vertical shift moves the function ________ or _________. (Select two answers.)

• down

• up

• left

• right

Which best describes how we transform the red graph to the blue graph?

• Vertical shift down 4

• Vertical shift up 4

• Vertical shift up 1.52

• Vertical shift down 1.25

Which expression represents transforming the red graph, f(x), to the blue graph?

• f(x) + 4

• f(x) - 4

• 4f(x)

• f(x) + 1.25

Which expression represents transforming the blue graph, g(x), to the red graph?

• f(x) + 4

• f(x) - 4

• 4f(x)

• f(x) + 1.25