Can someone explain the answer to me? which description matches the transformations y = cos x undergoes to produce y = 2cos (-x) - 4? a. horizontal compression by factor 2, vertical shift by 4 units up, then a reflection across the x-axis b. reflection across the y-axis, vertical stretch by factor 2, then a vertical shift down 4 units c. reflection across the y-axis, vertical shift of 2 units, horizontal shift right by 4 units d. horizontal shift left 1 unit, then vertical shift down by 4 units

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d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

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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.

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