Find the function.
-Find the function that is finally graphed after the following transformations are applied to the graph of y = |x|. The graph is shifted right 3 units, stretched by a factor of 3, shifted vertically down 2 units, and finally reflected
Across the x-axis.
A) y = -(3|x + 3| - 2)
B) y = -(3|x - 3| - 2)
C) y = -3|x - 3| - 2
D) y = 3|-x - 3| - 2

Question

Quizplus · Accepted Answer

The correct transformations applied to y = |x| to achieve the described final graph are: shifting right 3 units (which translates to |x - 3|), stretching by a factor of 3 (multiplying the function by 3, resulting in 3|x - 3|), shifting vertically down 2 units (subtracting 2 from the function, leading to 3|x - 3| - 2), and reflecting across the x-axis (multiplying the entire function by -1, resulting in -(3|x - 3| - 2)). This matches option B.

Find the Function. -Find the Function That Is Finally Graphed After the Following