HELP 80 POINTS. A ball is thrown upward off of a 100-meter cliff with an initial velocity of 6 m/s. The function f(x)=-5x2+6x+100 (graphed below) represents this
a situation where x is time and y is the distance off of the ground.

a. For what domain does the function make sense?

b. For what range does the function make sense?
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c. How far off the ground is the ball at time x = 3 seconds?

d. Look at the new graph below. What changed about the situation? How do you
know?
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e. What would the new function be? What kind of transformation is this?

f. Would you still use the same domain and range? Why or why not?