# What is the end behavior of #g(x)=x^2+4x+4#?

##### 1 Answer

Both ends go up. Or, as x goes toward positive infinity, y values increase, and as x goes toward negative infinity, y values increase.

#### Explanation:

This is a quadratic function. Think about the parent function for

The **degree** of a function determines whether its ends go up or down. The degree is the highest exponent on the variable in a polynomial.

This is a **second** degree polynomial (aka a quadratic) since

In polynomials with even degrees like 2,4,..., the right and left end behavior is the same. If the highest exponent is an even number, this is the case. If that term is positive, both ends go up, like in

Check out this site for more info: http://www.purplemath.com/modules/polyends.htm

Hope this helps, and happy mathing!!