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The flight of a golf ball can be represented by a parabola with a vertex (75,55). During the flight, the ball was 100 yards away from the tee and had a height of 49.375 feet. What is the equation in vertex for a parabola that represents the ball's vertical distance, y, and horizontal distance from the tee, x?

Sagot :

MrRoyal

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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