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 original function is y = x. The transformations are applied as follows: 1. Shifted down 4 units: y = x - 4.2. Reflected about the y-axis: y = -x - 4 (since reflection about the y-axis changes x to -x).3. Shifted left 6 units: This means adding 6 to the x-value, but since the function is already reflected, it effectively becomes y = -x - 6 - 4, which matches option B.

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