Question

Which equation matches the function shown in the graph?
A. y=2sin(1/2x)+1
B. y=3sin(2x)
C. y=2sin(2x)+1
D. y=3sin(1/2x)

Answer 1

Answer:

the answer is A. y=2sin(1/2x)+1

Step-by-step explanation:

I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph

Answer 2

The function that matches the graph is y= 2 sin(1/2x) +1.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

let y = A sin ($\omega$x + Ф)+  k

T= 4π, w= 2π/T = 1/2

Now, midline= 1/2( max + min)

=1/2(3-1)= 2/2

k=1

and, A= 3-1 = 2

So, y= 2 sin(1/2x  + Ф) +1

as, Ф=0

So, y= 2 sin(1/2x) +1

Learn more about graph here:

https://brainly.com/question/16608196

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