From y = f(x) = x² - 3x + 6, we can see that the coefficient of x², which implies that the parabola is an upward parabola.sud21 wrote:
Now, f(0) = 0, which implies that the y-intercept = 6
(1) Line L is parallel to x-axis does not reflect where does it intersects the y axis; NOT sufficient.
(2) Line L passes through the point (0, 16) again does not reflect where does it intersects the y axis; NOT sufficient.
Combining (1) and (2), Line L is parallel to x-axis and passes through (0, 16) implies it intersects with the parabola at 2 points; SUFFICIENT.
The correct answer is C.
