Question

Is a quadratic function still considered “quadratic” if it is not in all four quadrants on a graph?

Answer 1

Yes.

Being quadratic has nothing to do with the quadrants of the x-y graph. It's more related to the geometry of a four-sided shape.

Answer 2

Yes

Explanation:

You want to know if a quadratic function need not exist in all four quadrants of a graph.

Quadratic

A function is quadratic if it is of degree 2. Whether the graph has sections in all 4 quadrants of the Cartesian plane will depend on the locations of the vertex and the y-intercept. The graph is always a parabola.

Yes, a quadratic function is still quadratic if it is not in all four quadrants.

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Additional comment

The graph will occupy all four quadrants if the signs of the y-intercept and the y-value of the vertex are the same, and the vertex lies farther from the x-axis than the y-intercept does.

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