What is the graph of the function f(x)=x2+ 2x+ 3?

Step-by-step explanation:

The best way to do this is to let a graphing program do it. You could do it from a chart, but a graphing program can be useful for that as well. We'll make up a mini chart here

x        method                        y

-3      (-3)^2 + 2(-3) + 3 =       6

-2      (-2)^2 + 2(-2) + 3 =       3

-1       (-1)^2 + 2(-1)  + 3 =        2

0                                            3

1        (1)^2 + 2(1) + 3              6

2        (2^2) + 2(2) + 3           11

3        (3)^2  +2(3) + 3            18  

See the graph below.    

You can pick it out from the graphs you were given.                

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