General equation of parabola: y-k = a(x-h)^2
Here the vertex is at (0,0), so we have y-0 = a(x-0)^2, or y = ax^2
All we have to do now is to find the value of the coefficient a.
(1,2) is on the curve. Therefore, 2 = a(1)^2, or 2 = a(1), or a = 2.
The equation of this parabola is y = 2x^2.
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Simplifying the expression (x - 2y) + (3x + 4y).
Work:
(x - 2y) + (3x + 4y)
Combine like terms.
x + 3x = 4x
-2y + 4y = 2y
Reform the expression.
4x + 2y
Simplified Expression: 4x + 2y.
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