Which statement best describes f(x) = -2 Sq r x-7 +1

Sure this question has a set of answer choices, because there are many things that you can tell about such function.

Although you did not include the answer choices, I stil can help you by showing the graph of the function and telling some features, which will permit you grasp the function and choose the right option.

1) the function is f(x) = - 2√(x - 7) + 1

2) the graph is attached: the given function is the red one. The black curve is of the parent function √x

3) the domain is all the real numbers greater than or equal to 7 (because the amount inside the square root cannot be negative, i.e. x - 7 ≥ 0).

4) The range is all the real number less than or equal to 1, i.e y ≤ 1 (because the greatest value of √(x - 7) is 0 and you have to add 1 to that).

5) If you take the parent function y = √(x), the graph of f(x) is the graph of the parent function reflected over the x-axys, shifted 7 units to the right, stretched vertically by the factor of 2, and shifted one unit upward.

That information gives you a very good picture of the function f(x). (remember the red curve on the graph).