sketching Quadratic graph

Notes Topic: QUADRATIC FUNCTIONS

Subtopic: Sketching the graphs

 So, maximum at (2, 16)

Question 1 : 

A quadratic function is defined by     .

(a) Express the quadratic function in the form of   , where a, p, and q are constants
(b) Determine the maximum or minimum value of f(x) and state the corresponding value of x.
(c) Sketch the graph of the function f(x)

                                                                                    (8 marks)

Question 2 : 

The quadratic function   is given.
(a) Express f(x) in the form    where a, p, and q are constants.
(b) Sketch the graph of y = f(x)
(c) Hence, sketch the graph of  y = | f(x) |

                                                                                    (7 marks)