Question

Find the function that is finally graphed after following transformations are applied to the graph of y=ãx in the order list
1. shift down 8 units
2. reflect the x-axis
3. reflect the y-axis

Answer 1

to shift f(x) down 8,

f(x)-8

to reflect in x-axis,

-(f(x)-8) = 8 - f(x)

to reflect in y-axis,

8 - f(-x)