1.7 Test

Match the rigid transformation: $h\left(x\right)=f\left(x\right)+c$  

• a horizontal shift c units to the RIGHT

• a vertical shift c units DOWN

• a horiztonal shift c units to the LEFT

• a vertical shift c units UP

Match the rigid transformation: $h\left(x\right)=f\left(x-c\right)$  

• a horizontal shift c units to the RIGHT

• a vertical shift c units DOWN

• a horiztonal shift c units to the LEFT

• a vertical shift c units UP

 $f\left(x\right)=\left|x\right|$  2 units left

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

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

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

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

 $f\left(x\right)=x^2$ reflected x-axis, 2 units right

•  $g\left(x\right)=-x^2+2$  

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

•  $g\left(x\right)=-x^2-2$  

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

 $f\left(x\right)=\left|x\right|$  1 unit left, 2 units down

•  $g\left(x\right)=\left|x-1\right|-2$  

•  $g\left(x\right)=\left|x-2\right|+1$  

•  $g\left(x\right)=\left|x+1\right|-2$  

•  $g\left(x\right)=\left|x-2\right|-1$  

 $f\left(x\right)=\sqrt{x}$  reflected on the y-axis, down 5 units

•  $g\left(x\right)=\sqrt{-x-5}$ 

•  $g\left(x\right)=\sqrt{-x}+5$ 

•  $g\left(x\right)=-\sqrt{x}-5$ 

•  $g\left(x\right)=\sqrt{-x}-5$ 

 $f\left(x\right)=x^2$  vertical stretch of 4, 3 units left, 2 up

•  $g\left(x\right)=4\left(x+3\right)^2-2$ 

•  $g\left(x\right)=4\left(x-3\right)^2-2$ 

•  $g\left(x\right)=4\left(x+3\right)^2+2$ 

•  $g\left(x\right)=4\left(x-3\right)^2+2$ 

 $f\left(x\right)=\left|x\right|$  reflected x-axis, v. shrink 0.5, 3 units left, 4 units up

•  $g\left(x\right)=-0.5\left|x-3\right|+4$  
  

•  $g\left(x\right)=-0.5\left|x+3\right|+4$  

•  $g\left(x\right)=0.5\left|x-3\right|+4$  

•  $g\left(x\right)=0.5\left|-\left(x+3\right)\right|+4$  

 $g\left(x\right)=-x^2+10$  

•  $f\left(x\right)=x^2$  moved up 10 units

•  $f\left(x\right)=x^2$  reflected x-axis, moved up 10

•  $f\left(x\right)=x^2$  reflected y-axis moved up 10

•  $f\left(x\right)=x^2$  reflected x-axis, moved down 10

 $g\left(x\right)=-\left(x-7\right)^2+5$  

•  $f\left(x\right)=x^2$  reflected x-axis, 7 right, 5 up
  

•  $f\left(x\right)=x^2$  reflected x-axis, 7 left, 5 up

•  $f\left(x\right)=x^2$  reflected x-axis, 7 right, 5 down

•  $f\left(x\right)=x^2$  7 left, 5 up