Fnd Donan \( y=2 \sqrt{x+4} \)

To find the domain of the function \( y = 2 \sqrt{x + 4} \), we need to ensure that the expression inside the square root is non-negative. This means that \( x + 4 \geq 0 \), leading to \( x \geq -4 \). Therefore, the domain of the function is all x-values from -4 to positive infinity, or in interval notation, \( [-4, \infty) \). Now, let's chat about what that means in a more everyday sense! Imagine you're measuring the height of a plant that only grows properly when its roots are fully in the soil. Here, you're saying that the soil can start forming at a point (like -4) and grow infinitely upwards—basically, roots can push beyond that starting line without limits! So, go ahead and plant those roots at -4 and watch them rise!