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# Math Transformations Question?

I need help solving this:

The graph of y1 = 1/x^2

The graph of y2 = 1/(x^2+6x+9)

Describe how y2 is a transformation of y1.

### 1 Answer

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- KLv 58 years agoFavorite Answer
factor the bottom of the second function

x^2+6x+9

= (x+3)(x+3)

=(x+3)²

so now you have

y2 = 1/(x+3)²

when compared to the first one the (x+3) is there instead of just an x

so

there is a horizontal shift ( translation) of 3 units to the left ( opposite --> x+3 = 3 left ) when compared to the first equation

some free videos on this at

http://www.kjaro.com/practice/category/24 ( factoring )

http://www.kjaro.com/practice/category/25 ( factoring)

http://www.kjaro.com/practice/category/138 ( transformations of 1/x)

Hope that helps !

.

Source(s): . http://www.kjaro.com/

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