Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot 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

Respuesta :

Answer:

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

Step-by-step explanation:

The given function is [tex]y=\sqrt{-4x-36}[/tex]

We can rewrite this function by factoring -4 in the radicand to get:

[tex]y=\sqrt{-4(x+9)}[/tex]

We further simplify the square root of 4 to get:

[tex]y=2\sqrt{-(x+9)[/tex]

The parent function is [tex]y=\sqrt{x}[/tex]

When we compare to the parent function, there is a stretch by a factor of 2, reflection over the y-axis, and translation 9 units left

The last option is correct

Answer:

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

Step-by-step explanation: