The path of a swooping bird is modeled by the hyperbola 4y2 − 1,225x2 = 4,900, where x is the horizontal distance measured from the point where the bird is closest to the ground and y represents the height of the bird from the ground. hint: assume that the origin lies at ground level. the bird is closest to the ground when its height is__ meters from the ground.

The graph of the path of the swooping bird is shown in figure below. The general form of the hyperbola equation is given by:



So we can order the equation of the problem by multiplying it by the following term:



Therefore:



∴

Given that the origin lies at ground level, the bird is closest to the ground at the vertices of the parable, that is, when x = 0 (this will give us two solutions, but we will take the positive value because the bird flight over the air)

Hello,
Please, see the attached file.
Thanks.

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