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Therefore by making a line through following points we can make graph which is parabola in shape
Two things are equal, according to an equation. Like this: 9 + 2 = 11 . It will have an equivalent sign "=". According to that equation, "this equals that" is expressed as "what is on the left (9 + 2) is equal to what is on the right (11).
Here,
Given Equation : x² = 8y
Given Equation agrees with conventional equation of parabola on positive y-axis
x² = 4ay
Comparison of the two equations yields,
4a = 8 ⇒ a = 2
Focus of parabola = ( 0 , 2 ) ( 0 , 2 )
Parabola vertex equals ( 0 , 0 )
Axis of Symmetry = y-axis
To sketch its, we find some points
with x = 4 or -4 we get
4² = 8y ⇒ 16 = 8y ⇒ y = 2
So, points are ( 4 , 2 ) and ( -4 , 2 ) ( -4 , 2 )
we obtain when x = 8 or -8.
(-8)² = 8y ⇒ 64 = 8y ⇒ y = 8
So, points are ( 8 , 8 ) and ( -8 , 8 ) ( -8 , 8 )
Therefore by making a line through following points we can make graph which is parabola in shape
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The correct question is :-
Which graph represents the equation x2 = 8y?