Write the equation of the sine function with amplitude of 8.5, standard period, phase shift of 90°, and a vertical shift of 12.

- you multiply by the amplitude
- you subtract the phase shift from the sine argument
- you add the vertical shift

So, the regular y=sin(x) becomes:

y = 8.5sin(x-π/2)+12

90° angle is π/2 because a full circle of 360° maps to 2π.

Ibelieve a is the correct answer because 3 is the y-intercept you can see it from the graph. so from here the answers could only be a and c. they are differently at the sign.substitute x with 1so the equation for a is 3*(1.4)^x3*(1.4)^1 = 4.2look back at the graph it is true that when x= 1 y= 4.2if you use equation from c. when x= 1 then y will be negative number which is falseso correct answer is a