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Sagot :
The equation of the parabola is y = 2/25x^2 + 2
How to determine the parabola equation?
The complete question is in the image
The given parameters are:
Vertex, (h, k) = (0,2)
Point (x,y) = (-5, 4)
The parabola is represented as;
y = a(x - h)^2 + k
Substitute (h, k) = (0,2)
y = a(x - 0)^2 + 2
This gives
y = ax^2 + 2
Substitute (x, y) = (-5,4)
4 = a(-5)^2 + 2
This gives
4 = 25a + 2
Subtract 2 from both sides
25a = 2
Divide by 25
a = 2/25
Substitute a = 2/25 in y = ax^2 + 2
y = 2/25x^2 + 2
Hence, the equation of the parabola is y = 2/25x^2 + 2
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