Translations and Reflections of Square Root Functions

Which function is a transformation of

 $y=\sqrt{x}$  to the function a?

•  $y=\sqrt{x}+3$  

•  $y=\sqrt{x+5}$  

•  $y=\sqrt{x+5}+2$  

•  $y=\sqrt{x-3}+1$  

Tags

CCSS.HSF.BF.B.3

Which function is a transformation of

 $y=\sqrt{x}$  to the function b?

•  $y=\sqrt{x}+3$  

•  $y=\sqrt{x+5}$  

•  $y=\sqrt{x+5}+2$  

•  $y=\sqrt{x-3}+1$  

Tags

CCSS.HSF.BF.B.3

Which function is a transformation of

 $y=\sqrt{x}$  to the function c?

•  $y=\sqrt{x}+3$  

•  $y=\sqrt{x+5}$  

•  $y=\sqrt{x+5}+2$  

•  $y=\sqrt{x-3}+1$  

Which function is a transformation of

 $y=\sqrt{x}$  to the function d?

•  $y=\sqrt{x}+3$  

•  $y=\sqrt{x+5}$  

•  $y=\sqrt{x+5}+2$  

•  $y=\sqrt{x-3}+1$  

Tags

CCSS.HSF.BF.B.3

Name the translation from  $y=\sqrt{x}$  to the function  $y=\sqrt{x-3}$  .

• left 3

• right 3

• up 3

• down 3

Tags

CCSS.HSF.BF.B.3

Name the transformation from the function  $y=\sqrt{x}$   to the function   $y=-\sqrt{x+3}$  .

• Reflection over the y-axis, left 3.

• Reflection over the y-axis, right 3.

• Reflection over the x-axis, left 3.

• Reflection over the x-axis, right 3.

Tags

CCSS.HSF.BF.B.3

Solve the equation  $y-2=\sqrt{x}$  for y, then name the transformation from the equation  $y=\sqrt{x}$  .

• Up 2

• Down 2

• Right 2

• Left 2

Tags

CCSS.HSF.BF.B.3

Solve   $y+2=\sqrt{-x}$  for y, then same the transformations from the function  $y=\sqrt{x}$  .

• Reflection over the x-axis, up 2.

• Reflection over the x-axis, down 2.

• Reflection over the y-axis, up 2.

• Reflection over the y-axis, down 2.

Solve the equation   $3+\sqrt{x-4}=20$  .

• 289

• -289

• 293

• -293

Solve,  $\sqrt{x+7}=-3$  

• 2

• -2

• -16

• not possible