Choose the function whose graph is given by: a. y=3sin(x-2)+1 b. y=3cos(x-3)+1 c. y=6sin(x-2)-2 d. y=3sin(x-2)+2

A

Step-by-step explanation:

a site called desmos, its a graphing calculator and you should use it :)

The function whose graph is given below is:

                    A)    

From the graph that is provided to us we observe that,

when x=2

then f(x)=1

Hence, we will check which function satisfies this point.

B)

At x=2 we have:

Hence, option: B is incorrect.

C)

when x=2 we have:

Hence, option: C is incorrect.

D)

when x=2 we have:

Hence, option: D is incorrect.

So, we are left with option: A

A)

when x=2

we get: y=1

Similarly all the other points are satisfied.

Also, the graph of this function matches the given graph.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)