Parabolas worksheets (with solutions)

Three worksheets on parabolas. One on transforming parabolas: The exercises include finding the equation of the parabola that occurs after translating the parabolas y=x^2 and y=-x^2 vertically and horizontally and writing the equations of parabolas which are translations of the parabolas y=x^2 and y=-x^given their graphs. One on the parabola y=ax^2: The exercises include identifying whether a given parabola of this form has a maximum or a minimum and matching given graphs of such parabolas to their equations. And one on the discriminant of a quadratic equation:The exercises include evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph. Solutions are provided.