1. The path of a hamster diving into water is given by the equation \( y = \frac { 1 } { 2 } x ^ { 2 } - 6 x \)

where " \( y \) " is the vertical height in feet and " \( x \) " is horizontal distance in feet. That said, do the following....

- State if the graph has a minimum or a maximum.

State the coordinate of the minimum or maximum and state what it means in reference to scenario.

- State the coordinate of \( y \) -intercept and state what it mean in reference to the scenario.

- Graph the scenario below. Use a SKETCH and LABEL all point you used: