Me . need math .

1. describe the two transformations that occur to the parent function f(x)=x√ when transformed to the function g(x)=2x√+3.

2. then, describe the domain and range of g(x). (you may use interval notation or words)

Domain:  [0, ∞); range:   [3, ∞)

Step-by-step explanation:

1. Describe the two transformations that occur to the parent function f(x)=x√ when transformed to the function g(x)=2x√+3.  The correct way in which to write these two functions follows:

Parent function f(x)=√x transformed function g(x)=2√x+3.

First, the graph of the parent function is stretched vertically by a factor of 2.  Second, the resulting graph is translated 3 units up.

2. Then, describe the domain and range of g(x). (You may use Interval Notation or Words)

The input (argument) of a square root function must be from [0, ∞).  This is the domain of the function g(x).

Note that if x = 0, g(0) = 3.  This 3 is the smallest value that g(x) can have.  There is no upper limit on g(x).  Thus, the range is [3, ∞).

rounding to the nearest thousandth would be 452,000