Graphs of Square Root Functions

What is parent function for the square root?

• $f\left(x\right)=x^2$

• $f\left(x\right)=\left|x\right|$

• $f\left(x\right)=\sqrt{x}$

Tags

CCSS.HSF.IF.A.1

Which of the following describe the transformations that occurred from parent function for the square root to  $g\left(x\right)=3\sqrt{x-4}-2$  

• shifted down 2, shifted left 4, vertical stretch

• shifted up 2, shifted left 4, vertical stretch

• shifted down 2, shifted right 4, vertical compression

• shifted down 2, shifted right 4, vertical stretch

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3

Which of the following describe the transformations that occurred from parent function for the square root to  $g\left(x\right)=-2\sqrt{x+3}$  

• shifted left 3, vertical compression, vertical reflection

• shifted right 3, vertical compression, horizontal reflection

• shifted left 3, vertical stretch, reflection over x-axis

• shifted left 3, vertical stretch, reflection over y-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which of the following describe the transformations that occurred from $f\left(x\right)=\sqrt{x}$  to  $g\left(x\right)=\sqrt{-x+1}+8$  

• shifted 8 up, shifted 1 left, horizontal reflection

• shifted 8 up, shifted 1 right, reflection over the x-axis

• shifted 8 down, shifted 1 right, reflection over the y-axis

• shifted 8 down, shifted 1 left, horizontal reflection

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of the graph?

• $f\left(x\right)=\sqrt{x+1}+2$

• $f\left(x\right)=\sqrt{x-1}+2$

• $f\left(x\right)=\sqrt{x-2}+1$

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

What is the equation of the graph?

• $f\left(x\right)=\sqrt{x-4}$

• $f\left(x\right)=\sqrt{x}+4$

• $f\left(x\right)=\sqrt{x+4}$

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

What is the equation for the graph?

• $f\left(x\right)=\sqrt{-x-3}+1$

• 
  

  $f\left(x\right)=\sqrt{-x+3}+1$
  

• $f\left(x\right)=-\sqrt{x+3}+1$

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4