Ihave more questions i need with thx

What expression is equivalent to 1/2(2+3x-6)

If you apply the changes below to the absolute value parent function, f(x)=\x\, which of these is the equation of the new function? shift 2 units to the left shift 3 units down a. g(x)=\x-3\-2 b. g(x)= \x-2\-3 c. g(x)= \x+3\-2 d. g(x)= \x+2\-3

The graph of a hyperbola is shown. what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)