3.6 & 3.7 Function Transformations Review_Alg1

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 4 units up from the graph f
• The graph of g is a horizontal translation of the graph of f, 4 units right
• The graph of g is a horizontal translation of the graph of f, 4 units left
• The graph of g is a vertical stretch of the graph of f, by a factor of 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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.5

Which transformation on

f(x) = x

is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Describe the transformation from the parent function, f(x) = x to g(x) = f(x + 7)

• Vertical translation Up 7

• Vertical translation Down 7

• Horizontal translation Left 7

• Horizontal translation Right 7

Which transformation will occur from f(x) = x to g(x) = $\frac{1}{4}f\left(x\right)$  ?

• Vertical stretch by a factor of 4

• Vertical shrink by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal shrink by a factor of 1/4

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

• The graph of g has been shrunk by a factor of 2/3 

• The graph of g has been shrunk by a factor of 2/3 and is reflected over the x-axis.

• The graph of g is reflected, and the y-intercept is translated down 2/3 units.

• The graph of g is stretched by a factor of 2/3 and is reflected over the x-axis.

Linear parent function $f\left(x\right)=x$  is graphed on the grid. Which graph best represents $g\left(x\right)=-f\left(x\right)-3$ ?

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• 
• 
• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformation of the equation below from the parent function of y = I x I

y = I x - 4 I

• Horizontal translation Left 4

• Horizontal translation Right 4

• Vertical translation Up 4

• Vertical translation Down 4

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

• Horizontal translation Left 2

  Vertical translation up 5

• Horizontal translation Right 2

  Vertical translation up 5

• Horizontal translation Left 2

  Vertical translation down 5

What transformations have occurred from y = |x|?

• Horizontal translation left 1,

  Vertical translation up 5

• Horizontal translation left 1,

  Vertical translation down 5

• Horizontal translation right 1,

  Vertical translation up 5