Quadratic Functions

[math-head96]

Hi, I have a question that I just can't seem to catch on to. Can you help me? My paper says... What is the end behavior of the following quadratic function?

f(x) = 4x² + 15x + 20.

I would really appreciate your help. Thanks.

 

[connielathrop]

Hi, I have a question that I just can't seem to catch on to. Can you help me? My paper says... What is the end behavior of the following quadratic function?

f(x) = 4x² + 15x + 20.

I would really appreciate your help. Thanks.

End behavior means what happens to the graph at each end. When the degree (exponent) is even and the leading coefficient (first number) is positive, the end behavior is that the graph will go up on each end.

Degree Leading coefficient End behavior

even positive up on left and right
even negative down on left and right
odd positive down on left and up on right
odd negative up on left and down on right