Posted by **Tifini** on Sunday, July 15, 2012 at 9:07pm.

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??:( ) -
**MathMate**, Sunday, July 15, 2012 at 9:29pm
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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