Can someone plz me with algebra : ) will give log_{8}(x+6)+ log_{8}(x-6)=2

Using logarithms property of log(x)+log(y)=log(xy)
so here, you can sum the equation to;

so you can simply say that;

and by multiplying (x+6)*(x-6)

and as you know also that;
is same as 
so you can simply state it as;

And you can check your work by substituting with 10 instead of x in the original function.
Hope this helps!

The correct graph is the second one, with the points being at (-6,0), (2,0) and reaching down to (-2,-8)