3. The Spark City event planners are planning a big fireworks display for the 4th of July. The fireworks will launch from a boat in the bay, and must land in a designated "fire safe” zone 100 meters away. To
be visible above the buildings and the trees, the fireworks must reach at least 30 meters high. Sketch a
graph and write an equation of the parabola that models the path of the fireworks from the boat to the
safe zone.

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step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

image for option 4

step-by-step explanation:

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answer: your answer is a