Question

MAX POINTS help me

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?

Answer 1

General equation:-

• Asin(bx)+c

So

• Amplitude=A=-3

Min=-2 ,max=4

Hence

• b=|(mn)|π/mx
• b=|-2|π/4
• b=2π/4
• b=π/2

midline =c=1

So plugin the values

• y=-3sin(π/2x)+1

Answer 2

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

The required equation is :

`\qquad \sf  \dashrightarrow \:a \sin(bx) + c`

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`