Answer:
[tex]y=-2x+5[/tex]
Step-by-step explanation:
Translation of a Graph
If the graph of y=f(x) is translated a units horizontally and b units vertically, then the equation of the translated graph is
:
[tex]y -b=f(x - a)[/tex]
The function given in the question is
[tex]f(x)=-2x-7[/tex]
We are required to translate it 6 units to the right, or a=6. No vertical translation is required, thus, the function whose graph is 6 units translated to the right is:
[tex]y=-2(x-6)-7[/tex]
Operating:
[tex]y=-2x+12-7[/tex]
[tex]\boxed{y=-2x+5}[/tex]
