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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Which graph shows the quadratic function y = 3x2 + 12x + 14? A B C D
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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. y=3x2+12x+14=3(0)2+12(0)+14=14 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: y=3(2)2+12(2)+14=12+24+14=50 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: y=3(−1)2+12(−1)+14=3−12+14=5 Graph C is the one that goes through the point (-1,5) so it is our choice.

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