Explanation:
Lets's solve this step by step. Here we have a function:
[tex]y=f(x)[/tex]
So:
Step 1. Reflection across the x-axis:
[tex]y=-f(x)[/tex]
Step 2. Shifting 1 unit to the right
[tex]y=-f(x-1)[/tex]
Step 3. Shifting 3 unit up
[tex]y=-f(x-1)+3[/tex]
Finally:
[tex]g(x)=-f(x-1)+3[/tex]
So the graph of f has been reflected across the x-axis, shifted 1 unit to the right and 3 units up to become the graph of g.
