Graphical Transformations of Functions

Select all transformations that occurred from the black function to the blue function:

• vertical reflection across the x-axis

• horizontal translation left 4

• vertical translation up 1

• vertical stretch by a factor of 4

• horizontal reflection across the y-axis

Select all transformations that occurred from the black function to the blue function:

• vertical reflection across the x-axis

• vertical translation down 2

• horizontal translation right 10

• vertical compression by a factor of 2

• horizontal compression by a factor of 2

Tags

CCSS.HSF.BF.B.3

Select all transformations that occurred from the black function to the blue function:

• horizontal reflection across the y-axis

• vertical reflection across the x-axis

• vertical translation up 5

• vertical translation down 5

• horizontal translation right 3

Select all transformations that occurred from the black function to the blue function:

• horizontal reflection across the y-axis OR vertical reflection across the x-axis

• horizontal translation left 1

• vertical translation down 2

• vertical stretch by a factor of 2

• horizontal stretch by a factor of 2

Tags

CCSS.HSF.BF.B.3

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

• F

• G

• H

• J

A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?​

The graph of f(x) ​ (a)   to create the graph of h.

• is shifted right 7 units

• is shifted up 7 units

• is shifted left 7 units

• is shifted down 7 units

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

• Graph g is a reflection.

• Graph g translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?​ The graph of f(x) ​ (a)   to create the graph of h.

• is shifted right 7 units

• is shifted up 7 units

• is shifted left 7 units

• is shifted down 7 units