Drawing parabola from given equation

Task goals

• Plot simple $y=x^2$-family parabolas, including vertical shifts, reflections, and stretches, using a table of values.
• Plot an expanded quadratic such as $y=x^2+bx$ or $y=x^2+bx+c$ by constructing a suitable table of values.
• Plot a quadratic given in vertex form, such as $y=(x-a)^2+b$, and label its turning point.
• Plot a quadratic given in expanded form and find and label its turning point.
• Plot a quadratic given in vertex form and label both its turning point and its axis of symmetry.
• Plot a quadratic given in expanded form, labelling its turning point and marking where the curve crosses the $x$-axis.
• Choose a sensible table of values themselves in order to plot a quadratic given in vertex form.