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Coefficients of a Parabola - Practice

Select the sign of the coefficients of the parabola shown in the applet.

Given the parabola with equation , for which values of does the vertex coincide with the origin and the graph lies above the x-axis?

Given the parabolas with equations and , which one "contains" the other, that is, has a wider opening?

What is the equation of the axis of symmetry of a parabola in canonical form ?

Write the equation of a parabola that opens downward and has as axis of symmetry the line .