Solve Square Root Functions Graphing Squaring

Which of these equations shifts a radical equation left 3 times?

• y = √(x) + 3

• y = √(x) - 3

• y = √(x + 3)

• y = √(x - 3)

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

Identify the Range for the function

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

What is the equation for this graph?

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

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 Domain for the graph?

• -4 ≤ x < ∞

• − ∞ < x ≤ -2

• -2 ≤ x < ∞

• − ∞ < x ≤ -4

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 by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2