Question

50 POINTS! Minimum Value help. Photo attached.

For the function y=-2+5sin((pi/12)(x-2)) what is the minimum value?

Answer 1

`\Large \boxed{-7}`

Explanation:

We can find the minimum of the function by plotting the function on the graph.

`\displaystyle \mathrm{y=-2+5 \cdot sin((\pi )/(12)(x-2) )}`

The minimum value is the y value of the lowest point on the graph.

Answer 2

- 1 <= sin (a) <= 1

-2+5*(-1)<= -2+5sin(pi/12)(x-2)<= -2 +5*(1)

so

the minimum value of y is

y = - 2 + 5 * ( - 1 ) = - 7

hope this would help you