Transformations of 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 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.4

CCSS.HSG.CO.A.5

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

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• 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?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did the equation shift from the parent function?

y = f(x) + c

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically

• Shifted right "c" units

Tags

CCSS.HSF.BF.B.3

How did the equation shift from the parent function? y = f(x - 4)

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

• $g\left(x\right)\ =\ f\left(x\right)-6$

• $g\left(x\right)=4f\left(x\right)$
  

• $g\left(x\right)=f\left(x\right)-3$
  

• $g\left(x\right)=\frac{1}{4}f\left(x\right)$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

• $g\left(x\right)=f\left(x\right)+4$

• $g\left(x\right)=f\left(x\right)+5$

• $g\left(x\right)=3f\left(x\right)$

• $g\left(x\right)=\frac{1}{3}f\left(x\right)$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A student graphed

 $f\left(x\right)=x$  and  $g\left(x\right)=f\left(x\right)+8$  on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

• 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 8 units up to create the graph of g.

• The graph of f is shifted 8 units down to create the graph of g.

Tags

CCSS.HSF.BF.B.3

A student graphed $f\left(x\right)=x$  and $g\left(x\right)=f\left(x\right)-6$ on the same coordinate grid.
Which statement describes how the graphs of f and g are related?

• The graph of f is shifted 6 units down to create the graph of g.

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

• The graph of f is shifted 6 units up to create the graph of g.

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4