Show your work.
triangle abc is rotated 180º using the origin as the center of rotation.
which sequence of transformations will produce the same result?
a translation up 4 and then a reflection over the y-axis
a translation up 4 and then a translation right 6
a reflection over the x-axis and then a reflection over the y-axis
a translation right 6 and then a reflection over the x-axis

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: