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Question

What is the y-intercept of the curve obtained by plotting y=2x2+x−6?

A
-2
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B
-6
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C
1.5
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D
Cannot be determined
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Solution

The correct option is B -6
To plot the given equation, form a table by assigning integer values for x from -3 to 3 and find the corresponding values of y=2x2+x6.
x3210123x294101492x2188202818x321012366666666y90563415
Plot the points (-3, 9), (-2, 0), (-1, -5), (0, -6), (1, -3), (2, 4) and (3, 15) on the graph.
Join the points by a smooth curve. The curve, thus obtained, is the graph of y=2x2+x6.
So, the curve intersects y-axis at -6. Hence, y-intercept is -6.


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