Question

The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}♨`

The required equation is :

`\qquad \sf  \dashrightarrow \:y = a \sin(bx) + k`

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

`\qquad \sf  \dashrightarrow \: - 3 \sin( ( \pi)/(2)x ) + 1`