Transformation of Linear and Absolute Value Functions

Which transformation does not belong with the other three?

• Translate the graph of f(x) = 2x + 3 up 2 units

• Stretch the graph of f(x) = x + 3 vertically by a factor of 2

• Shrink the graph of f(x) = x + 5 horizontally by a factor of 1/2

• Translate the graph of f(x) 2x + 3 left 1 unit

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

• $y=-\left|x-15\right|-3$

• $y=-\left|x+15\right|-3$

• $y=\frac{1}{2}\left|x+3\right|-15$

• $y=\frac{1}{2}\left|x-3\right|-15$

• $y=\left|-x-15\right|-3$

Tags

CCSS.HSF.BF.B.3

 $f\left(x\right)=\frac{1}{2}x-3$  Which function of g represents a reflection in the x-axis of the graph of

• g(x) = $\frac{1}{2}x+3$  

• g(x) =  $3x-\frac{1}{2}$  

• g(x) =  $-\frac{1}{2}x+3$  

• g(x) =  $3x+\frac{1}{2}$  

Which equation represents the following graph?

• y = 3x + 2

• y = -2x + 3

• y = 2x + 3

• y = -3x + 2

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

The equation  $f\left(x\right)=2x\ -9\$  translated 6 units up is 

•  $g\left(x\right)=2x-3$  

•  $g\left(x\right)=2x+9$  

•  $g\left(x\right)=2x+3$  

•  $g\left(x\right)=2x-9$  

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

Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x | 
• f(x) = -3|x| - 7
• f(x) = -|-x + 1| + 4
• f(x) = 5|x - 4| - 1

Tags

CCSS.HSF.BF.B.3

The equation  $f\left(x\right)=x+2$  translated 2 units to the right is 

•  $\left(g\right)=-x$  

•  $\left(g\right)=x-2$  

•  $\left(g\right)=x+2$  

•  $\left(g\right)=x$  

The equation  $f\left(x\right)=x-5$  translated 4 units to the left is 

•  $\left(g\right)=x-1$  

•  $\left(g\right)=x+1$  

•  $\left(g\right)=x+5$  

•  $\left(g\right)=x-5$  

Which parent function matches the graph?

• y = |x|
• y = ∛(x)
• y = x²
• y = a⋅b^x

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSF.IF.A.1