A quadratic function has zeros -2 and 6 and passes through the point (3, 15)
(a) [1.5 marks] Find the equation of the quadratic function in factored form
(b) [1 mark] Write the function in standard form
(c) [3 marks] Complete the perfect square trinomial to write the equation of the
quadratic in vertex form and state the coordinates of the vertex
(d) [1.5 marks] Find the second quadratic function with the same zeros as in part
(a) but passing through the point (3, -30). Express the function in standard form.
(e) [3 marks] Graph both function sketch both graphs (parent and transformed) on
the same set of axes. Make sure to embed the graph (Do NOT provide picture,
screenshot, link). Explain how the graphs can be used to verify that the equations
in parts (a) and (d) are correct