# Graph Transformation

andrey21
How would the following function impact on a graph?

x(-n-1)

Heres what I know:

x(n-1) shift graph right by 1 step
x(-n) reflect in y axis

So would the solution be reflect in y axis and shift right by 1??

## Answers and Replies

andrey21
Would it be reflected in y axis and shifted left by 1 step??

Mentor
Your "x(n - 1)" notation is very unusual, especially if you're also talking about y.

If y = f(x), then the graph of y = f(x - 1) is the translation of the graph of f by one unit to the right.

The graph of y = f(-x) is the reflection across the y-axis of the graph of f.

y = f(-x - 1) = f(-(x + 1)) consists of a reflection and a translation, in that order.

Think about how y = (-x - 1)2 looks in comparison to the untransformed function f(x) = x2.
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