



 
Hi Anne, I want to illustrate with the function f(x) = x^{2} 5x + 9. The technique to use is to complete the square
Thus the graph of (x + 5/4)^{2} is a parabola with vertex at x = 5/4 and opening downwards. The addition of the term 61/4 moves the entire graph upwards a distance of 61/4 units but the shape of the graph remains the same, it is a parabola with vertex at x = 5/4 and opening downwards. I hope this helps,  


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