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Which graph shows the quadratic function y = 3x2 + 12x + 14?
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You could always go with the old school approach of actually computing some values and looking at the graph! x=0 is a good candidate because it is trivial to compute.
Any graph not containing a curve going through (0,14) can immediately be rejected. Unfortunately, none of the graphs actually show the y-intercept, probably to prevent this approach from being so easy :-)
Next choice is x = 2 which certainly does appear on two of the graphs:
We can reject B and D because they do have a point at x=2 and it isn't y=50
To decide between A and C, you could do x = -1 or x = -2, -1 is a bit easier:
Graph C is the one that goes through the point (-1,5) so it is our choice.