What is the domain and range of f(x) = 2|x - 4|?

Which is a true statement comparing the graphs of x^2/6^2-y^2/8^2 = 1 and x^2/8^2-y^2/6^2 the foci of both graphs are the same points. the lengths of both transverse axes are the same. the directrices of = 1 are horizontal while the directrices of = 1 are vertical. the vertices of = 1 are on the y-axis while the vertices of = 1 are on the x-axis.

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.

Simplify using positive exponents only.