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it is possible that the graph of quadratic function has no x-intercept and y-intercept?

Sagot :

x-intercept, possible.

y-intercept. No.

Each parabola has y-intercept.  When the parabola is extended, it intersects the y-axis of the graph.

Parabola (U-shaped either opening upward for minimum, or opening downward for maximum) is the graph of a quadratic function.