50 points, explain your answer!

determine the function whose graph is given by (sine graph):

determine the function whose graph is given by (cosine graph):

12.  y = 2 sin(4x) + 1

Step-by-step explanation:

The general form of a sin equation is: y = A sin (Bx - C) + D

D = max - A

   = 3 - 2

   = 1

There is no phase shift so C = 0

A = 2, B = 4, C = 0, D = 1  -->  Equation of the graph is: y = 2 sin (4x) + 1

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12.  

Step-by-step explanation:

The general form of a cos equation is: y = A cos (Bx - C) + D

There is no phase shift so C = 0

A = , B = , C = 0, D = 0  -->  Equation of the graph is:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.