A machine fired several projectiles at the same angle, e, above the horizontal. Each projectile was fired with a different initial velocity, vi. The graph below represents the relationship between the magnitude of the initial vertical velocity, Viy, and the magnitude of the corresponding initial velocity, v; of these projectiles. Determine the angle, , above the horizontal at which the projectiles were fired. A. 39° B. 35° C. 33° D. 40°

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Explanation:

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the closer the planet is to the sun, the larger the gravity

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .