d. \( y=\sqrt{2 x+4} \)

Did you know that the equation \( y=\sqrt{2x+4} \) describes a curve known as a "square root function"? These functions typically start at a point along the x-axis (in this case, at \( x = -2 \)) and grow upwards, resembling half of a parabola that opens to the right. This means that as \( x \) increases, \( y \) increases too, but the growth rate slows down compared to linear functions! When graphing this function, remember to avoid common mistakes like forgetting the domain! Since you can't take the square root of a negative number in the realm of real numbers, the domain starts at \( x = -2 \) and goes to positive infinity. Look out for that turning point, because it’s where the magic happens!