Which graph represents the equation x2 = 8y?

Given Equation : x² = 8y

Given Equation matches with standard equation of parabola on positive y-axis

x² = 4ay

By comparing both equation we get,

4a = 8 ⇒ a = 2

Focus of parabola = ( 0 , 2 )

Vertex of parabola = ( 0 , 0 )

Axis of Symmetry = y-axis

To draw its, we find some points

when x = 4 or -4 we get

4² = 8y ⇒ 16 = 8y ⇒ y = 2

So, points are ( 4 , 2 ) and  ( -4 , 2 )

when x = 8 or -8 we get

(-8)² = 8y ⇒ 64 = 8y ⇒ y = 8

So, points are ( 8 , 8 ) and ( -8 , 8 )

Graph from above points is attached.

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:

i believe that the answer is

b. y-1=-2(x-4)

hope this !