Translations and Reflections of Functions

 $g\left(x\right)$ is a vertical translation of  $f\left(x\right)$  up 3.  Which equation relates  $g\left(x\right)$  and  $f\left(x\right)$  ?

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

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

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

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

Tags

CCSS.HSF.BF.B.3

 $g\left(x\right)$ is a vertical translation of  $f\left(x\right)$  down 7.  Which equation relates  $g\left(x\right)$  and  $f\left(x\right)$  ?

•  $g\left(x\right)=f\left(x\right)+7$  

•  $g\left(x\right)=f\left(x\right)-7$  

•  $g\left(x\right)=f\left(x+7\right)$  

•  $g\left(x\right)=f\left(x-7\right)$  

Tags

CCSS.HSF.BF.B.3

 $g\left(x\right)$ is a horizontal translation of  $f\left(x\right)$  left 2.  Which equation relates  $g\left(x\right)$  and  $f\left(x\right)$  ?

•  $g\left(x\right)=f\left(x\right)+2$  

•  $g\left(x\right)=f\left(x\right)-2$  

•  $g\left(x\right)=f\left(x+2\right)$  

•  $g\left(x\right)=f\left(x-2\right)$  

Tags

CCSS.HSF.BF.B.3

 $g\left(x\right)$ is a horizontal translation of  $f\left(x\right)$  right 4.  Which equation relates  $g\left(x\right)$  and  $f\left(x\right)$  ?

•  $g\left(x\right)=f\left(x\right)+4$  

•  $g\left(x\right)=f\left(x\right)-4$  

•  $g\left(x\right)=f\left(x+4\right)$  

•  $g\left(x\right)=f\left(x-4\right)$  

Tags

CCSS.HSF.BF.B.3

 $g\left(x\right)$ is a reflection across the x-axis of  $f\left(x\right)$ .  Which equation relates  $g\left(x\right)$  and  $f\left(x\right)$  ?

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

 $g\left(x\right)$ is a reflection across the y-axis of  $f\left(x\right)$ .  Which equation relates  $g\left(x\right)$  and  $f\left(x\right)$  ?

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

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

Tags

CCSS.HSF.BF.B.3

 $p\left(x\right)$ is a vertical translation of  $q\left(x\right)$  down 2 and a horizontal translation right 8.  Which equation relates  $p\left(x\right)$  and  $q\left(x\right)$  ?

•  $p\left(x\right)=q\left(x-8\right)-2$  

•  $p\left(x\right)=q\left(x+8\right)-2$  
  

•  $p\left(x\right)=q\left(x-2\right)-8$ 
  

•  $p\left(x\right)=q\left(x-2\right)+8$  
  

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

 $p\left(x\right)$ is a vertical translation of  $q\left(x\right)$  up 5 and a horizontal translation right 3.  Which equation relates  $p\left(x\right)$  and  $q\left(x\right)$  ?

•  $p\left(x\right)=q\left(x-5\right)-3$  

•  $p\left(x\right)=q\left(x+5\right)-3$  
  

•  $p\left(x\right)=q\left(x-3\right)-5$ 
  

•  $p\left(x\right)=q\left(x-3\right)+5$  
  

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

 $k\left(x\right)$ is a horizontal translation of  $j\left(x\right)$  left 6 and a reflection across the x-axis.  Which equation relates  $k\left(x\right)$  and  $j\left(x\right)$  ?

•  $k\left(x\right)=-j\left(x+6\right)$  

•  $k\left(x\right)=j\left(-x+6\right)$  
  

•  $k\left(x\right)=-j\left(x-6\right)$  
  

•  $k\left(x\right)=j\left(-x-6\right)$  
  

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

 $k\left(x\right)$ is a vertical translation of  $j\left(x\right)$  up 1 and a reflection across the y-axis.  Which equation relates  $k\left(x\right)$  and  $j\left(x\right)$  ?

•  $k\left(x\right)=j\left(-x\right)+1$  

•  $k\left(x\right)=j\left(-x\right)-1$  
  

•  $k\left(x\right)=-j\left(x\right)+1$  
  

•  $k\left(x\right)=-j\left(x\right)-1$  
  

Tags

CCSS.HSF.BF.B.3