what parent function is y= square root of x
The parent function for y = √x is the square root function.
The parent function is the simplest form of a function that has not been transformed in any way. In this case, the parent function for y = square root of x is y = sqrt(x).
The parent function for y = square root of x is the square root function. It is written as f(x) = √x. The square root function is a basic function in mathematics that outputs the non-negative square root of its input.
To determine that y = square root of x (f(x) = √x) represents the parent function, you need to understand that the term "parent function" refers to the simplest form or the basic starting point for a specific family of functions. In this case, y = square root of x is the simplest form of the square root function.
To graph the parent function, you can choose several x-values, calculate the corresponding y-values by taking the square root of each x-value, and plot the points on a coordinate plane. For example, if you choose x = 0, 1, 4, and 9, the corresponding y-values would be 0, 1, 2, and 3, respectively. Connecting these points will give you a smooth curve, which is the graph of the square root function.
It's vital to note that the square root function has a domain of all non-negative real numbers (x ≥ 0) since you cannot take the square root of a negative number in the real number system.