Answer:
B. vertical stretch by 4, translate left by 5
Step-by-step explanation:
When the output of a function is multiplied by a factor, its graph is stretched vertically by that factor. So 4√x stretches √x vertically by a factor of 4. This knowledge by itself lets you select the correct answer choice, B.
When a value is subtracted from the independent variable, the graph is moved (translated) to the right by that amount. Here -5 is subtracted to get √(x+5) from √x. So the graph is translated to the left by 5 units (the opposite of right).
Taken together, these transformations stretch the function vertically by a factor of 4 and translate it left 5 units.
Answer:
t = 1.277 sec and t = 2.848 sec
Step-by-step explanation:
This problem is much more easily done by graphing it than by computing it using algebra.
The values of t we're looking for are the ones that make x = 0, so we want the solutions of on the interval [0, 3].
According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.
