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

Eq.

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

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

Step-by-step 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.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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