the height, h, in meters of a saturn v rocket t seconds after launch is modeled by the graph shown. note…
the height, h, in meters of a saturn v rocket t seconds after launch is modeled by the graph shown. note that the graph is not the actual path of the rocket. a launch is delayed by 60 seconds by a technical problem. describe the effect on h(t) as a translation. sketch the graph of the height of the rocket t seconds from the original launch time.
Answer
Explanation:
Step1: Recall translation rule
For a function (y = h(t)), a delay of (a) seconds means replacing (t) with (t - a) in the function. Here (a = 60), so the new function is (h(t-60)).
Step2: Understand the effect on the graph
The graph of (y=h(t - 60)) is the graph of (y = h(t)) shifted 60 units to the right. This is because for the same height value, the time occurs 60 seconds later.
Answer:
The delay represents a translation 60 units to the right.