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Roots, zeros and x-intercepts
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Learn it The roots of ax² + bx + c = 0 are the zeros of the function and the x-intercepts of its graph. The discriminant b² − 4ac tells how many: positive → 2, zero → 1, negative → 0 (the parabola misses the x-axis).
Example: How many x-intercepts does y = 3x² − 2x + 4 have?
- D = 4 − 48 = −44 < 0.
- None: the parabola doesn't cross the x-axis.
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