1. Determine the following characteristics of the graph given below, and then write the equation of the quadratic function in standard form.

    Graph Characteristic Answer
    Direction of opening
    Coordinates of the vertex
    Equation of the axis of symmetry
    Maximum of minimum value
    \(x\)-intercept(s)
    \(y\)-intercept
    Domain
    Range


  2. A quadratic function has only one zero at \(x = 3\).  The graph of the function passes through \((1, –16)\).  Write the equation of the function in standard form.