### Home > INT2 > Chapter 11 > Lesson 11.1.3 > Problem11-36

11-36.

Annie remembers the Water Balloon Contest and wants to try her skill at launching a balloon. Her balloon’s flight can be modeled by the function $y = -\frac { 1 } { 2 }(x - 1)^2 + 2$  where $x$ is the horizontal distance (yd) the balloon has traveled from the goal line, and $y$ is the height (yd) of the balloon above the ground. .

1. Sketch a graph of the function and label the x- and y‑intercepts. What do the intercepts tell you about the flight of the balloon?

The $x$ intercepts are places where the height equals $0$.

2. What is the maximum height the balloon reaches? Justify your answer.

$2$ yards

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