Square Root Functions

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1
• y = √(x + 5) - 1
• y = √(x - 5) + 1
• y = √(x + 5) + 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which is the graph of the square root parent function?

• A
• B
• C
• D

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of the function graphed?

• f(x) = (x-2)^1/2 + 5
• f(x) = (x+5)^1/2 - 2
• f(x) = (x+2)^1/2 + 5
• f(x) = (x-2)^1/2 - 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of the function graphed?

• f(x) = (x-1)^1/2 + 2
• f(x) = 3(x-1)^1/2
• f(x) = 3(x+1)^1/2
• f(x) = 3(x+1)^1/2 + 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the y-axis
• Shifted left 2, shifted up 3, and reflected over the x-axis
• Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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, twice as steep, and shifted right 5
• Reflected over the x-axis, twice as steep, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Tags

CCSS.HSF.BF.B.3

Which describes the graph?

• y=√(x+4)+1
• y=√(x-4)-1
• y=√(x+4)-1
• y=√(x-4)+1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of this function?
f(x) = √(x-1) -3

• {x ∣ x ≥ 1}
• {x ∣ x ≤ 1}
• {x ∣ x ≥ -3}
• {x ∣ x ≥ -1}

Tags

CCSS.HSA.REI.A.2

What is the range of this function?
f(x) = √(x-1) -3

• {f(x) ∣ f(x) ≥ 1}
• {f(x) ∣ f(x) ≥ -1}
• {f(x) ∣ f(x) ≥ -3}
• {f(x) ∣ f(x) ≤ -3}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2