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rah45
13.02.2020 •
Mathematics
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
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Ответ:
stretched by a factor of 2, reflected over the y-axis, and translated 9 units left
Step-by-step explanation:
The given function is![y=\sqrt{-4x-36}](/tpl/images/0510/4133/20d17.png)
We can rewrite this function by factoring -4 in the radicand to get:
We further simplify the square root of 4 to get:
The parent function is![y=\sqrt{x}](/tpl/images/0510/4133/d8b57.png)
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
Ответ:
stretched by a factor of 2, reflected over the y-axis, and translated 9 units left
Step-by-step explanation:
Ответ: