Which of the following equations represents the pattern above?
A. y = (2x + 4)2

B. y = (2x + 1)2 + 4

C. y = (2x)2 + 4

D. y = (2x - 1)2 + 4

Question

Which of the following equations represents the pattern above?
	A. y = (2x + 4)2
	
	B. y = (2x + 1)2 + 4
	
	C. y = (2x)2 + 4
	
	D. y = (2x - 1)2 + 4

anonymous · Answer

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datanewb · Answer

I solved this problem by substituting the values of x into the equations A, B, C, D to verify that the equations gave the correct y.  In this case it is wise to start with the smallest x value, 1, and work up from there.

So equation A would give the y value of:

$$y = (2*x + 4)^2 \y = (2*1 + 4)^2 \ y = (6)^2 \ y = 36 $$

And since (1,36) does not correspond with the initial ordered pair from the pattern, (1,5), then we can rule out equation A.

Now repeat the same logic with equations B, C, and D.

Which equation gives the same ordered pairs as the pattern?

That's your answer!

anonymous · Answer

@Datanewb- So it would be D?

anonymous · Answer

@katragaddasaichandra- How did you get B?

datanewb · Answer

@chicagochica5, that is correct!

anonymous · Answer

@datanewb- Thanks :)

datanewb · Answer

@chicagochica5- Your welcome :)

anonymous · Answer

@datanewb Would you be willing to help me with the next question?