Find the function.
-Find the function that is finally graphed after the following transformations are applied to the graph of $$\mathrm { y } = | \mathrm { x } |$$ 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 in order are: shift right 3 units ($x$ becomes $x - 3$), stretch by a factor of 3 (multiply the function by 3), shift down 2 units (subtract 2 from the function), and reflect across the x-axis (multiply the function by -1). This results in $y = - ( 3 | x - 3 | - 2 )$.

Find the Function y=∣x∣\mathrm { y } = | \mathrm { x } |y=∣x∣

Find the Function $\mathrm { y } = | \mathrm { x } |$