The questions regarding swimmers position is required.
The initial height of the swimmer is 14 foot.
The max height of the dive is 23 foot.
The x intercept is [tex](8,0)[/tex]. This means she is at ground level.
Parabola
It is mentioned that the springboard is 14 foot high.
So, initial height of the swimmer is 14 foot.
The maximum height of the dive will be point of curve which is the highest in the [tex]y[/tex] axis.
That point is 23 foot.
The x intercept is the point where the parabola touches the [tex]x[/tex] axis.
Here that point is [tex](8,0)[/tex]
This means that the diver is at ground level but she traveled a horizontal distance of 8 feet.
Learn more about parabolas:
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