How to Graph a Parabola, Transformations, Reflections, Dilations from a Quadratic

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Transformations of functions. IB Math SL, transformations of quadratics and graphing them. How to graph y=a(x-h)^2+k, where the vertex and the symmetry line go. Key points and the way the parabola goes are centered at (h,k). The general equation for a quadratic f(x)=ax^2+bx+c. The graph of any quadratic can be obtained by reflection, the scale factor of a vertical translation, and horizontal translation. Need an equation for the line of symmetry like x=3. Graphing parabolas is one of the conic sections.