Integrated Math 1 (help please??:( )

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Consider y=x^2+8x+16.
What is the correct way to factor this equation?
How does this equation shift the graph of y=x^2?

  • Integrated Math 1 (help please??:( ) -

    The answer can be correct or incorrect.

    There are many ways to solve a ,atj problem, depending on the conditions.

    Any way that give a correct answer is a correct way.

    Here the most obvious way to factor is to note that it is a perfect square:
    x^2+8x+16
    =x^2+2(4x)+4^2
    =(x+4)^2

    Alternatively, you could see that:
    x^2+8x+16
    =x^2+4x+4x+4^2
    =x(x+4)+4(x+4)
    =(x+4)(x+4)
    =(x+4)^2
    as above.

    Both methods are correct, the first one is more intuitive.

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