What's the equation of the parabola that has its vertex at (8,–14) and a point (5,13) that lies on the curve? A.)

y = 3(x + 8)2 – 14

B)

y = 3(x – 8)2 – 14

C)

y = (x + 8)2 – 14

D)

y = (x – 8)2 – 14

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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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