Answer:
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.
- Multiplying 2 in the function will give you the stretched by a factor of 2.
shows the reflection about y-axis i.e, (x,y)→(-x,y).
- If f(x)→f(x+b) then function is shifted left by unit b
⇒ 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.