Question 728795: I am struggling with finding the resonable range for the function,  . I tried to plug it into a graphing calculator but the line goes on forever and I dont know how to write that in the range, ___
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! The graph would be shifted upward by a few hundred units, so you could just adjust the display settings for your graphing calculator window to see where is the maximum value for the function.
Your function,  , will have a maximum, since a=-16 according to general form  . Other than adjusting the display settings on the graphing calculator window when viewing the graph, you can also Complete the Square to identify the vertex. Your range would then be  , for whatever vertex you find as your point (h, k).
That was the very general, basic description of what to do. You can or should review your book on how to complete the square to convert a quadratic function from general form to standard form. Your given function, , would use a square term of  . You would need to add and subtract this term appropriately in order to achieve "Completing the Square" and converting into standard form.
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