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Sagot :
The equation in vertex for the parabola for y in terms of x is y = -0.009(x - 75)² + 55
How to determine the equation in vertex for a parabola?
From the question, we have the following parameters that can be used in our computation:
Vertex = (75, 55)
Point = (100, 49.375)
The equation in vertex form for a parabola is represented as
y = a(x - h)² + k
Where
Vertex (h, k) = (75, 55)
Point (x, y) = (100, 49.375)
So, we have
y = a(x - 75)² + 55
Substitute (x, y) = (100, 49.375) in y = a(x - 75)² + 55
49.375 = a(100 - 75)² + 55
So, we have
625a = -5.625
Divide by 625
a = -0.009
Substitute a = -0.009 in y = a(x - 75)² + 55
y = -0.009(x - 75)² + 55
Hence, the equation is y = -0.009(x - 75)² + 55
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