At how many points does line L intersect with the parabola represented by y = x² - 3x + 6?
y = x² - 3x + 6?
Since a (coefficient of x²) is +ve, it's an upward parabola.
y intercept is 6
(1) Line L is parallel to x-axis.
Not sufficient, as we don't know where does it intersects the y axis.
(2) Line L passes through the point (0, 16).
Not sufficient as we don't know the slope, depending on slope line may intersect parabola at zero or multiple points.
(1) + (2)
Sufficient, lines intersects parabola at only two points i.e. where y = 16.