Answer:
C: 
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
So, 4.01 is less than 4.1. Think of it as 4.10 and 4.01, 1 is less than 10. One you could have put is 4.101, because it is more than 4.1 and less than 4.11
The answer is -3. I just did it on a calculator
Step-by-step explanation:
tanA=8/15 and tan B=40/9
tan(A+B)=(tanA+tanB)/1-tanAtanB
(8/15+40/9)/1-(8/15×40/9)
=-672/185