Linear transformations 1/26 Alg1A

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

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

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

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

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

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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?

• $g\left(x\right)=6f\left(x\right)$

• $g\left(x\right)=f\left(x\right)-6$

• $g\left(x\right)=-6f\left(x\right)$

• $g\left(x\right)=f\left(x\right)+6$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 3). Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

The linear parent function, f(x) = x, is transformed to g(x) = f(x - 6). Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 7. Does this result in a horizontal or vertical translation?

• horizontal

• vertical

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the parent function

of linear functions?

• y = 2x

• y = mx + b

• f(x) = x

• Not here

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2