Question

ying is a professional deep water free diver. his altitude (in meters relative to a sea level) x seconds after diving is modeled by D(x)=1/36(x-60)^2-100

What is the lowest altitude Ying will reach

Answer 1

Answer:

100 feet below sea level

Step-by-step explanation:

Our function is

$D(x)=\frac{1}{36}(x-60)^2-100$

This is written in vertex form,

f(x) = a(x-h)²+k,

where (h, k) is the vertex of the function.

The vertex of a function is either the maximum or the minimum value of a quadratic function.

For our function, the value in place of h is 60 and the value in place of k is -100; this makes the vertex

(60, -100).

This means at 60 seconds, the diver will reach a minimum of -100 feet, or 100 feet below sea level.

Answer 2

The lowest altitude Ying will reach is -100 meters or 100 meters down.

What is the vertex form of a parabola?

The equation of a left/right opened parabola can be in one of the following three forms: Standard form:

$\rm y = a ( x-h) ^2 + k$

Where h and k are the vertexes of the parabola.

The given equation is;

$\rm D(x)=\dfrac{1}{36}(x-60)^2-100$

Here the value of a is positive then the shape of the parabola is upward, and the vertex is the minimum, which means it will be the lowest point.

In comparing with the standard form of a parabola

h = 60. and k = -100

Hence. the lowest altitude Ying will reach is -100 meters or 100 meters down.

Learn more about parabola here;

https://brainly.com/question/9882606

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