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Working through Gelfands Functions and Graphs but I'm stuck on a question. The question involves an image of a graph of $x^2 + px + q$ from the graph alone you need to find $p$ and $q$.

As you can see from the image below the vertex of the parabola is not known. I can find equations of graphs of parabolas with known vertex co-ordinates but is there any hints to find the equation of this graph?

trinomial_graph

N. F. Taussig
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esc1234
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    You have two points on the graph: $ (4,0)$ and $(5,-3)$ and you know the equation of the parabola is $y=x^2+px+q$. That gives you two simultaneous equations in $p$ and $q$. Can you take it from there? – postmortes Dec 22 '18 at 15:37
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    thanks very much. I had one of those 'doh!' moments when I read your comment thinking why didn't I think of that. Got the answer now. Thanks! – esc1234 Dec 23 '18 at 22:07

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