the shape of f(x) = |x|, but shifted eight units to the left and nine units down

Answer 1

shift 8 units left,

change f(x) =|x| to

g(x)=|x+8|

shift 9 units down

h(x) =|x+8| - 9

graphically it's two lines meeting at the vertex = minimum point = (-8,-9)

one line has slope =-1, the line to the right has slope = 1

135 degrees for the left side, and 45 degrees for the right side of the vertex