Which of the following describes the graph of y=\sqrt(-4x-36) 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

Option D - Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.

Step-by-step explanation:

Given : The function

To find : Which of the following describes the graph of compared to the parent square root function?

Solution :

First we simplify the given expression

→When we see the original square root function minus was taken outside x and 9 was added from x and 2 was multiplied to the entire function.

        ⇒ g(x))→g(x+9) then function is shifted left by unit 9

Therefore, The graph of was stretched by a factor of 2, reflected over the y-axis, and translated 9 units left to obtain the graph of the function .

So, Option D is correct.

beanburito

step-by-step explanation: