Question

Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compared to the parent square root function?
A)stretched by a factor of 2, reflected over the x-axis, and translated 9 units right
B)stretched by a factor of 2, reflected over the x-axis, and translated 9 units left
C)stretched by a factor of 2, reflected over the y-axis, and translated 9 units right
D)stretched by a factor of 2, reflected over the y-axis, and translated 9 units left

Answer 1

Factor inside the radical: y = sqrt(-4x - 36) = sqrt(-4(x+9)) = 2·sqrt(−(x+9)).

This is a vertical stretch by factor 2, a reflection across the y-axis (the negative inside), and a translation 9 units left (x replaced by x+9).

So answer: D.