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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