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Assume this graph is a transformation from f(t)=-6t^2 what does the term -3.7 do to the rocket’s graph? what does the value t=3.7 represent and what happens to the rocket

@jdoe0001

Assume this graph is a transformation from f(t)=-6t^2 what does the term -3.7 do to-example-1
User SwK
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2 Answers

5 votes

Answer:

t = 3.7 represents the time at which the rocket will reach at the maximum height.

Explanation:

In the diagram,

We have a downward parabola having vertex (3.7, 82.14),

Since, a downward parabola is maximum at its vertex,

That is, the maximum value of the graph is 82.14 at 3.7,

Here, the graph shows the path of a rocket,

That is, it shows the distance covered by the rocket in different time,

Hence, the maximum distance covered is 82.14 unit at 3.7 time.

User DiamondDrake
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6.6k points
5 votes

Answer:

Eq.

y = -6(x-3.7)^2 + 82.14

the value t = 3.7 represents the maximum amplitude of the rocket in-flight.

Explanation:

The standard equation of the parabola is written as

ax^2 +bx +c = 0

But we can rewrite it in vertex form. (See attached picture.)

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

If we look at the question, we can see that the vertex is

(h,k) = (3.7 , 82.14)

y = -6(x-3.7)^2 + 82.14

the value t = 3.7 represents the maximum amplitude of the rocket in-flight.

Assume this graph is a transformation from f(t)=-6t^2 what does the term -3.7 do to-example-1
Assume this graph is a transformation from f(t)=-6t^2 what does the term -3.7 do to-example-2
User Manish Singla
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6.9k points