Identifying Transformation on Linear Functions

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 dilation vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• Dilation Vertical stretch by a factor of 2

• Dilation Vertical compression by a factor of 1/2

• Vertical translation up by 2 units on the y-axis.

• Dilation Horizontal compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Horizontal Translation left 2 units on the x-axis

• Horizontal Translation right 2 units on the x-axis

• Vertical translation up by 2 units on the y-axis

• Reflection across the x-axis.

Which transformation on

f(x) = x

is g(x) = -f(x)

• Reflection across the origin

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

How did the equation shift from the parent function?

y = f(x) + c

• Shifted up "c" units on the y-axis

• Shifted down "c" units on the y-axis

• Stretches vertically

• Shifted right "c" units on the x-axis

If the graph of the parent function f(x) = x is a vertical translation shifted 7 units up on the y-axis and is vertically stretched by a factor of 3, what is the function?

• g(x) = 3f(x - 7)

• g(x) = 3f(x) - 7

• g(x) = 3f(x) + 7

• g(x) = 7(x - 3)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.2

How did the equation shift from the parent function? y = -3f(x) + 5

• Reflection over x-axis, steeper, up 5

• Reflection over y-axis, less steep, right 5

• Steeper, left 5

• reflection over x-axis, less steep, up 5

Tags

CCSS.HSF.BF.B.3

A student graphed f(x) = x and g(x) = f(x + 4). Which statement is true?

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

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

• The graph of f is shifted 4 units up to create the graph of g.

• The graph of f is shifted 4 units to the left to create the graph of g.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

• The graph of f is shifted 12 units to the right to create the graph of g.

• The graph of f is shifted 12 units down to create the graph of g.

• The graph of f is shifted 12 units up to create the graph of g.

• The graph of f is shifted 12 units to the left to create the graph of g.

Tags

CCSS.HSF.BF.B.3

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.

Tags

CCSS.HSF.BF.B.3