Translation of Functions

Which transformation of 

 $y=f\left(x\right)$  moves the graph 7 units to the left and 3 units down?

•  $y=f\left(x+7\right)-3$  

•  $y=f\left(x+7\right)+3$  

•  $y=f\left(x-7\right)-3$  

•  $y=f\left(x-7\right)+3$  

Tags

CCSS.HSF.BF.B.3

The minimum point on the graph of the equation

 $y=f\left(x\right)$  is (-1, -3). What is the minimum point on the graph of the equation  $y=f\left(x\right)+5$  ?

• (-1, 2)
  

• (-1, -8)

• (4, 3)

• (-6, -3)

The maximum point on the graph of the equation  $y=f\left(x\right)\$  is (2, -3). What is the maximum point on the graph of the equation  $y=f\left(x-4\right)$  ?

• (2, -7)
  

• (-2, -3)

• (6, -7)

• (6, -3)

The graph below shows the function f (x). Which graph represents the function  $f\left(x+2\right)$  ?

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The graph of  $y=f\left(x\right)$  is show below. What is the graph of  $y=f\left(x+1\right)-2$  ?

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Tags

CCSS.HSF.BF.B.3

The function f (x) is graphed on the set of axes below. Which of the following graph represents the function
 $f\left(x+1\right)+2$ ?

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The graph of the function p (x) is represented below. Which of the following graph represents the function $p\left(x+2\right)$ ?

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The shaded region above, with area A, indicates the area between the x-axis and the portion of y = f(x) that lies above the x-axis. For which of the following functions will the area between the x-axis and the portion of the function that lies above the x-axis be greater than A?

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  $y=\frac{1}{2}f\left(x\right)$
  

• $y=f\left(x-2\right)$

• $y=f\left(x+2\right)$

• $y=f\left(x\right)-2$

• $y=f\left(x\right)+2$