Q: Is a quadratic parent function a parabola?

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A 'Parabola'

The parabola

A cubic.

No. It can also be a circle, ellipse or hyperbola.

It is a quadratic function which represents a parabola.

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A 'Parabola'

the graph of a quadratic function is a parabola. hope this helps xP

A parabola

The parabola

A cubic.

No. It can also be a circle, ellipse or hyperbola.

It is a quadratic function which represents a parabola.

The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.

A parent function refers to the simplest function as regards sets of quadratic functions

x2

Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.

y = x2 is the parent function, but it can be in the form y = ax2 + bx + c