Sketching
Graphs of Quadratic Functions

What you need to find out about the function f(x)

1. f(0)
   gives the intercept
   of the graph with the y axis

2. the roots of the f(x)
   = 0 give the intercept
   of
   the graph with
   the x
   axis

3. The
   coordinates of the turning point

Finding the coordinates of the turning point

1. Using
   the equation of the graph;
   
   y =
   ax²+
   bx + c

x
coordinate

Use
the main features of a quadratic that;

1. the
   vertical line of symmetry passes through the turning point

2. the
   vertical line of symmetry also
   passes
   through the mid point of the roots of
   ax²+
   bx = 0

y
coordinate

The
value of the function when x
is set to the mid point of the roots
of

ax²+
bx = 0

2. Using
   the equation of the graph vertex form;
   y –
   h = a(x+
   b)²