A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive.

1- What is the initial height of the swimmer?

2- What is the max height of the dive?

3) What is the x-intercept ? Explain what does it represent?


3 questions needs to be answered please, any help?

A swim team member performs a dive from a 14foothigh springboard The parabola below shows the path of her dive1 What is the initial height of the swimmer2 What class=

Respuesta :

Answer:

Initial height: 13 feet

Max height: 23 feet

X-intercept: about 8; it represents the distance from the springboard, in feet, at the end of the dive.

Step-by-step explanation:

The line starts at 12

The top of the parabola is at 23

The line lands on the 8 on the x line.

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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