Question

A function h(x) is defined by the equation h(x) = sqrt x-2 + 3. Which is the graph of h(x)?

Answer 1

Explanation

• Given Equation

$h(x) = \sqrt{x - 2} + 3$

• Transformation

A constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.

A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.

Answer

• Second Image, the first one where x = 2 and y = 3.