factorised form of a quadratic

1. To explore the properties of quadratic functions
and their graphs.
To investigate the factorised form of a
quadratic function.
http://www.youtube.com/watch?v=VSUKNxVXE4E&feature=player_embedded#
http://evmaths.jimdo.com/year­11/functions/?logout=1
To be able to express a quadratic into its
different forms.

2. Factorise the quadratic expression:
Solve the equation

3. Draw sketch of the function
identify clearly vertex, roots, line of symmetry

4. can be
expressed as
this expression allows to identify clearly the
roots : x = ­3 and x =5
The line of symmetry will be half­way between
the zeros:
The vertex then is at (1 , ­16)
imput x=1 into the function to get y

5. The factorised form of a quadratic function
is useful to determine the zeros (roots) of the
function: x= p and x =q
The line of symmetry will be in the middle of
the two zeros:

6. Consider the function:
find the zeros:
find the line of symmetry:
find the coordinates of its vertex:
write this function in vertex form:
write this function in general form:

7. Consider the function:
find the zeros:
find the line of symmetry:
find the coordinates of its vertex:
write this function in vertex form:
write this function in general form:

8. Solve Ex 1 C page 14

9. y = (x­2)2 y = ­ x 2
+ 1
y = x2
­ 2y = x2
+ 3 y = (x ­ 3 )2
+5
y= ­ 2 x 2
+ 1

10. y= 3x(x­2)
y= ­x(x­2)
y= x(x­2)
y= (x­1)(x+2)
y= 2(x­1)(x+2)