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Definition of quadratic function?

A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0. This function represents a parabolic shape when graphed.


What is the shape graphed by the function r=1+sin theta?

Cardioid


what is the name of the shape graphed by the function r^2 = 9cos(2theta)?

Lemniscate


What name is given to the shape of a quadratic function?

A parabola


What is the name of the shape graphed by the function r = 2cos(3theta)?

Rose with 3 petals


If a quadratic makes a parabola what is the name of the shape produced by a cubic function?

A cubic.


How is the St. Louis Arch an example of a Quadratic Function?

The St. Louis Arch is in the shape of a hyperbolic cosine function It is often thought that it is in the shape of a parabola, which would have a quadratic function of y = a(x-h)^2 + k, where the vertex is h, k.


What shape does the quadratic graph make?

The graph of a quadratic equation has the shape of a parabola.


What different information do you get from vertex form and quadratic equation in standard form?

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.


What is the different shape a relation from a function?

When graphed, a function has any shape so that all vertical lines will cross the graph in at most one point. A relation does not have this condition. One or more vertical lines may (not must) pass thru a relation in more points.


How can a quadratic function have both a maximum and a minimum point?

A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.


What is the shape of a quadratic equation?

Square