g. \( y=2 \sqrt{x}+10 \)

Did you know that the equation \(y = 2 \sqrt{x} + 10\) actually represents a transformed square root function? The basic square root function, \(y = \sqrt{x}\), only reigns in the first quadrant. However, with the addition of 10, you're shifting the whole graph up by 10 units. This transformation gives us a whole new playground for our values. It's like moving your favorite ice cream shop directly into your backyard! When working with square root equations, a common mistake is forgetting to account for the domain. Since square roots can't deal with negative numbers in the real world, make sure you restrict \(x\) to be greater than or equal to 0. Otherwise, you might find yourself yelling at your calculator when it spits out imaginary numbers!