Consider the quadratic function f(x) = 3 + 2x x2. (a) Express f(x) in standard form.

Question:

Consider the quadratic function f(x) = 3 + 2x – x2.
(a) Express f(x) in standard form.
(b) Find the coordinates of the vertex and indicate whether it corresponds to the maximum or the minimum of f.
(c) Find the x – and y – intercepts.
(d) Sketch the graph of f(x) using the information above.