A pendulum is raised to a certain height and released from point A, as shown in the image below. At its release, the pendulum is also given an initial
velocity of 14 m/s. Assuming that the effects of friction and air resistance
can be ignored, what will be the maximum height that the pendulum can
reach – that is, what is the height at point B? (Recall that g = 9.8 m/s2)
B
.
35 m
A. 25 m
B. 45 m
C. 20 m
D. 30 m

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 .

third one with arrows on top of each other going the same direction