Which of the following is the correct equation for this function? a. y= (x+4)(x+2) b. y=x^2+ 3x – 2 c. y+ 2 = – 2(x+3)^2 d. y+ 2 = 2(x+3)^2

The equation which is correct for the given function is:

           D.  

By looking at the graph we observe that the graph of the function passes through the point (-4,0) , (-2,0)  , (-3,-2)

A)

when x= -3 we have:

Hence, option: A is incorrect.

B)

when x= -2 we have:

Hence, option: B is incorrect.

C)

when x= -2 we have:

Hence, option: C is incorrect.

D)

We see that the graph of this equation matches the given graph of the function.

step-by-step explanation:

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