Question

what is the maximum value of y=-3+4cos(5pi/6(x+4))

Answer 1

cos(x) maxes out at 1. It's the largest it can get

we can replace x with any complicated expression we want

so cos(BLAH) also maxes out at 1

What does this mean? It means that if we want to max out y, we just replace `cos(5pi/6(x+4))` with the largest numeric value it can be, which is 1

Answer 2

so `y=-3+4cos(5pi/6(x+4))` turns into `y=-3+4(1)`

from here you just calculate `-3+4(1)`

Answer 3

so -12

Answer 4

I mean -1

Answer 5

oh wait lol brain fart 1

Answer 6

yes, in the end, the max is y = 1

Answer 7

sweet thanks:)

Answer 8

this graph confirms the answer. Notice how the peak of each mountain is at y = 1

https://www.desmos.com/calculator/lboel2wxy6

Answer 9

I see it, good to know thanks for posting that because I am a visual learner and that helped my understanding

Answer 10

glad it helps out