Question

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

Answer 1

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

Explanation:

Answer 2

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

Explanation:

The given function is
`y=√(-4x-36)`

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

`y=√(-4(x+9))`

We further simplify the square root of 4 to get:

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

The parent function is
`y=√(x)`

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