Graphing Root Functions

Describe the transformation.

• Left 1, Reflect over x-axis, up 2

• Left 1, Reflect over y-axis, down 2

• Right 1, Reflect over x-axis, up 2

• Right 1, Reflect over y-axis, uo 2

Tags

CCSS.HSF.BF.B.3

What is the parent function of the graph? 

• y = x²

• y = 2√x

• y = √x

Tags

CCSS.HSF-IF.C.7B

Identify the Range for the function

Which of these equations shifts a square root function right 5 units and down one unit?

Tags

CCSS.HSF.BF.B.3

Which function matches the graph?

• f(x) = ∛(x + 3) + 2

• f(x) = − ∛(x - 3) + 2

• f(x) = ∛(x - 3) + 2

• f(x) = ∛(x - 2) + 3

Tags

CCSS.HSF-IF.C.7B

Which function matches the graph?

• f(x) = − ∛(x + 3) − 1

• f(x) = − ∛(x - 3) − 1

• f(x) = ∛(x + 3) − 1

• f(x) = ∛(x - 1) + 3

Tags

CCSS.HSF-IF.C.7B

f(x) = √(x) Which function is equivalent to: g(x - 4) + 2

• g(x) = 2√(x - 4)

• g(x) = √(x - 4) + 2

• g(x) = √(x + 2) - 4

• g(x) = √(x - 4) - 2

Tags

CCSS.HSF-IF.C.7B

What is the domain for: g(x) = √(x + 5) - 3

• -3 ≤ x < ∞

• − ∞ < x ≤ -3

• -5 ≤ x < ∞

• − ∞ < x ≤ -5

What is the Range for: g(x) = √(x + 5) - 3

• -3 ≤ y < ∞

• − ∞ < y ≤ -3

• -5 ≤ y < ∞

• − ∞ < y ≤ -5

What is the Range for the graph?

• A

  -4 ≤ y < ∞

• B

  − ∞ < y ≤ -2

• C

  -2 ≤ y < ∞

• D

  − ∞ < y ≤ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5