Which graph represents the equation x2 = 8y?
2 answers:
Answer:
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.
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Since, the number w and 0.8 are additive inverses.
A number 'a' is said to have an additive inverse '-a' if "a+ (-a)= 0".
Since, 'w' and '0.8' are additive inverses of each other such that
Therefore, the value of 'w' should be '-0.8' so that .
So, the value of 'w' is =0.8
Now, Refer to the attached image which represents the position of 0.8 , w ( that is -0.8) and the sum of 0.8 and w.
Sum of 0.8 and w = 0.8 + w
= 0.8 +(-0.8)
= 0.
