The function f(t)=22sin(piT/3 -5)+80 is used to represent the changes in temperature of a chemical compound used in a lab. What is the vertical shift? I got the answer of 6. Is this correct?
the vertical shift is +80
The curve oscillates about f=80 with an amplitude of 22.
How did you arrive at 6?
To determine the vertical shift of the function f(t) = 22sin(πT/3 - 5) + 80, you need to consider the constant term that is added or subtracted outside the sine function.
In this case, the constant term is 80. The vertical shift represents how much the function is shifted up or down, in other words, the value that is added or subtracted from the whole function.
So, in the given function, the vertical shift is equal to 80. This means that the graph of the function is shifted 80 units up from the x-axis.
Therefore, if you got an answer of 6 for the vertical shift, it is not correct. The correct answer is a vertical shift of 80 units.