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

Answer 1

see the attachment
I don't understand this

Answer 2

I am trying to help my 13 old with her homework

Answer 3

So the function you are looking for here is simply the function which relates y, the number of squares in a figure, to x, the number of the figure itself.

I would just substitute the first scenario of figure #1 with 5 squares, or x=1 and y=5. If the equation is satisfied, then you're good.

y=(2x+4)^2
5=(2(1)+4)^2
5=(6)^2
5=36
Not true, so this isn't correct.

y=(2x+1)^2+4
5=(2(1)+1)^2+4
5=(3)^2+4
5=9+4
5=13
Not true, so this isn't correct.

y=(2x)^2+4
5=(2(1))^2+4
5=(2)^2+4
5=4+4
5=8
Not true, so this isn't correct. Now we should hope the last equation works!

y=(2x-1)^2+4
5=(2(1)-1)^2+4
5=(1)^2+4
5=1+4
5=5
Good! The final equation satisfies the pattern. If you wanted to double-check, you could try the next combination of x=2 and y=13.

y=(2x-1)^2+4
13=(2(2)-1)^2+4
13=(3)^2+4
13=9+4
13=13

Okay, confidence in the final equation!

Answer 4

so confused so the answer is 13=13

Answer 5

The answer is: D. y = (2x - 1)2 + 4

Answer 6

Thanks all this looks great to me she is in 8th grade this is to much