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Assuming a nd c refer to the coefficients in

y = ax2 + bx + c

Then, if a>0 the graph is cup (U) shaped whereas if a<0 the graph is cap shaped.

c determines how high or low (above or below) the x-axis sits and, therefore, whether or not the quadratic has real roots.

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Q: How do a and c affect a quadratic graph?
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