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??

 

[andrey21]

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

 

[Mark44]

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.