Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compared to the parent square root fun

Question

13 days ago

10

Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compared to the parent square root fun

ction?
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

Mathematics

2 answers:

zzz [4K] · Answer 1 · 2026-02-20T13:52:49+03:00

zzz [4K]13 days ago

8 0

Answer:

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

Step-by-step explanation:

babunello [3.6K] · Answer 2 · 2026-02-20T13:52:10+03:00

Answer:

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

Step-by-step explanation:

The provided function is $y=\sqrt{-4x-36}$

We can reformulate this function by factoring out -4 in the radicand, resulting in:

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

Next, we simplify the square root of 4:

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

The parent function is $y=\sqrt{x}$

By comparing it to the parent function, we discern that there is a stretch by a factor of 2, a reflection across the y-axis, and a translation 9 units to the left.

The last option is accurate.