Sketching
Graphs of Quadratic Functions
What you need to find out about the function f(x)

f(0)
gives the intercept
of the graph with the y axis 
the roots of the f(x)
= 0 give the intercept
of
the graph with
the x
axis 
The
coordinates of the turning point
Finding the coordinates of the turning point

Using
the equation of the graph;
y =
ax^{2}+
bx + c
x
coordinate
Use
the main features of a quadratic that;

the
vertical line of symmetry passes through the turning point 
the
vertical line of symmetry also
passes
through the mid point of the roots of
ax^{2}+
bx = 0
y
coordinate
The
value of the function when x
is set to the mid point of the roots
of
ax^{2}+
bx = 0

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