Square Root Functions

Which of the following is the function shown in the graph?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7B

Let  $f\left(x\right)=\sqrt{x}$  . If  $g\left(x\right)=-3\sqrt{x-2}+1$   describe g(x) in terms of f(x)

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

Tags

CCSS.HSF.BF.B.3

Which equation is shown graphed?

• $y=-\sqrt{x+1}+4$

• $y=-\sqrt{x-1}+4$

• $y=\sqrt{x-1}+4$

• $y=\sqrt{x+1}+4$

Tags

CCSS.HSF-IF.C.7B

What is the parent function of square root functions?

• f(x) = x
• f(x) = √x
• f(x) = -√x
• f(x) = x²

What is the domain of this graph?

• x ≥ -1
• x ≤ -1
• x ≥ 0
• x ≤ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the function in this graph?

• y ≤ 3
• y ≥ 3
• y ≤ 0
• y ≥ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the X-INTERCEPT of this square root function?

• (0,0)

• (9,0)

• (0,-3)

• (1,1)

Tags

CCSS.HSF-IF.C.7B

What is the y-intercept of the graph?

• (-1,0)

• (0,-1)

• (0,3)

• (3,0)

Tags

CCSS.HSF-IF.C.7E

What is the x intercept of this function?

• (-4,0)

• (4,0)

• (-18,0)

• (18,0)

Tags

CCSS.HSF-IF.C.7E

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3