Question

1. the figure below shows the parabolic path for a scuba divers dive off of a boat. a) what is initial height of the scuba diver? b) what is the minimum height the diver? c) how far away was the diver from the boat when he resurfaced?

Explanation:

Step1: Find initial height

The initial height is when the distance from the boat ($x$) is 0. Looking at the graph, when $x = 0$, $y= 2$.

Step2: Find minimum height

The minimum of the parabolic - shaped graph occurs at the vertex. From the graph, the minimum value of $y$ is - 30.

Step3: Find distance when resurfaced

The diver has resurfaced when $y = 0$. From the graph, when $y = 0$, $x = 40$.

Answer:

a) 2 feet
b) - 30 feet
c) 40 feet