cube root

square root

logarithm

exponential

{x ∣ x ≥ 4}

{x ∣ x ≥ -2}

{x ∣ x ≤ 2}

{x ∣ x ≥ 2}

{y ∣ y ≥ 1}

{y ∣ y ≥ -1}

{y∣ y ≥ -3}

{y ∣ y ≤ -3}

{x ∣ x ≥ 1}

{x ∣ x ≤ 1}

{x ∣ x ≥ -3}

{x ∣ x ≥ -1}

y = √(x - 5) - 1

y = √(x + 5) - 1

y = √(x - 5) + 1

y = √(x + 5) + 1

$y=\sqrt{x-5}-1$

$y=\sqrt{x+5}-1$

$y=\sqrt{x-5}+1$

$y=\sqrt{x+5}+1$

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

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