Question

Which of the following describes the graph of y=\sqrt(-4x-36) compared to the parent square root function?

Answer 1

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 $y=\sqrt{-4x-36}$

To find : Which of the following describes the graph of $y=\sqrt{-4x-36}$compared to the parent square root function?

Solution :

First we simplify the given expression

$y=\sqrt{-4x-36}$

$y=\sqrt{4(-x-9)}$

$y=2\sqrt{-(x+9)}$

→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.

• $g(x)=\sqrt{-x}$ 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.

Answer 2

Answer:

D) stretched by a factor of 2, reflected over the y-axis, and translated 9 units left

Step-by-step explanation:

its right on edge