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 down 4 units, reflected about the $y$-axis, and finally shifted left 6 units.
A) $y = | - x - 6 | + 4$
B) $y = - | x + 6 | - 4$
C) $y = | - x - 6 | - 4$
D) $y = | - x + 6 | + 4$

Question

Quizplus · Accepted Answer

The correct transformations in order are: shift down 4 units (subtract 4 from the function), reflect about the $y$-axis (replace $x$ with $-x$), and shift left 6 units (replace $x$ with $x + 6$). Applying these transformations to $y = | x |$, we get $y = | - x - 6 | - 4$.

Find the Function y=∣x∣y = | x |y=∣x∣ the Graph Is Shifted Down 4 Units, Reflected About

Find the Function $y = | x |$ the Graph Is Shifted Down 4 Units, Reflected About