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1 vote
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

Which of the following is the correct equation for this function? A. y= (x+4)(x+2) B-example-1
User WillEnsaba
by
8.6k points

2 Answers

1 vote

Answer:

D. y + 2 = 2(x+3)^2

Explanation:

User Samuele Catuzzi
by
8.0k points
2 votes

Answer:

The equation which is correct for the given function is:

D.
y+2=2(x+3)^2

Explanation:

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

A)


y=(x+4)(x+2)

when x= -3 we have:


y=(-3+4)(-3+2)\\\\y=1* (-1)\\\\y=-1\\eq -2

Hence, option: A is incorrect.

B)


y=x^2+3x-2

when x= -2 we have:


y=(-2)^2+3* (-2)-2\\\\y=4-6-2\\\\y=-4\\eq 0

Hence, option: B is incorrect.

C)


y+2=-2(x+3)^2

when x= -2 we have:


y+2=-2(-2+3)^2\\\\y+2=-2


y=-4\\eq 0

Hence, option: C is incorrect.

D)


y+2=2(x+3)^2

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

User Jack Chorley
by
8.2k points

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