Question 797382: How do I make a t-table of values for y = x2 + 4x + 1. AI was suggested to start with values at -5. What does that mean, and is there anyway you can help me graph them?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Make a little table with two columns. Label one of the columns  and the other one  . Write -5 in the column. Substitute  for in  and do the arithmetic. Write the value you obtain for in the column.
Repeat the process as often as you think you need using different values in the column. Definately use -2 as one of your values, and pick your other values equally distant on either side of -2. For example, you are using -5 (3 to the left of -2), so be sure to use 1 (3 to the right of -2). If you use -4, be sure to use 0. Using 0 is always a good idea anyway.
Once you have as many entries in your table as you think you need (I suggest 5 or 7, as pleases you) then the and values in each row of the table form an ordered pair ) . Construct your ordered pairs and then plot them on an  graph. Finally, draw a smooth curve through your points. Hint: The point (-2,-3) is the minimum point of this function.
How did I know the vertex or minimum was at -2? For any quadratic function  , the vertex is a minimum if  is positive, and the coordinate of the vertex is  , or in your case: 
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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