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

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) $y = 3 | - x - 3 | - 2$

Quizplus · Accepted Answer

The correct transformations in order are: shift right 3 units (which changes $x$ to $x - 3$), stretch by a factor of 3 (which multiplies the function by 3), shift down 2 units (which subtracts 2 from the function), and reflect across the x-axis (which multiplies the function by -1). This results in $y = - ( 3 | x - 3 | - 2 )$.

Find the Function y=−(3∣x+3∣−2)y = - ( 3 | x + 3 | - 2 )y=−(3∣x+3∣−2)

Find the Function $y = - ( 3 | x + 3 | - 2 )$