Linear Transformations

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

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

 $f\left(x\right)=x$  and  $g\left(x\right)=2x-4$  
Which statement about the relationship of these two graphs is true?

• 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.

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 $f\left(x\right)=x$  and  $g\left(x\right)=-\frac{2}{3}x$  
Which statement about the relationship between these two graphs is true?

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

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

• The graph of g is reflected, and the y-intercept is translated down.

• The graph of g is steeper than the graph of f, and is reflected.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

 $f\left(x\right)=x$  and  $g\left(x\right)=-x+7$  
Which statement about the relationship between these two graphs is true?

• The graph of g is reflected and is translated up.

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

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

• The graph of g is reflected and is translated down.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

If $f\left(x\right)=x$  and a new line,  $g\left(x\right)$  is created by changing the slope to  $\frac{1}{5}$   and the y-intercept to 3, which statement about the relationship between these two graphs is true?

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

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

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If  $f\left(x\right)=x$  and a new line,  $g\left(x\right)$  is created by changing the slope to 3 and the y-intercept to -1, which statement about the relationship between these two graphs is true?

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

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

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.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?

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

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

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

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

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