Question

Which of the following describes the graph of mc024-1.jpg compared to the parent square root function? stretched by a factor of 2, reflected over the x-axis, and translated 9 units right stretched by a factor of 2, reflected over the x-axis, and translated 9 units left stretched by a factor of 2, reflected over the y-axis, and translated 9 units right stretched by a factor of 2, reflected over the y-axis, and translated 9 units left

Answer 1

Answer:

Step-by-step explanation:

Let us consider the following function:

$\sqrt{-4x - 36}$, which can be simplified as $2\sqrt{-x-9}$.

We can say that from the initial function what was made is adding a minus signal and the whole function was multiplied by two.

The fact that a minus is added makes the functions reverse across the y-axis. Adding minus 9 to the root will make the function translate to the left side. Thus, when multiplied by two, the function will get a taller graph, by double.

Therefore, the graph of the function $\sqrt{x}$ was stretched by the double, reflected over the y-axis, and translated 9 units left to obtain the graph of the function $\sqrt{-4x - 36}$.