C31: Analyse and describe the characteristics of quadratic functions.

Originator: Nicole

Vertex: The vertex is the max or min part on the graph and is always X.X-intercept: The x intercept is where it crosses the x axis.

Y-intercept: The y intercept is where it crosses the y intercept, 

                          and is also part 'c' in the equation. (2)

Z: Z is the same distance on each side of the vertex, it is a mirror image.

                                                 X-Intercept:

                                                                                  Vertex: -B

                                                                                                  2A

Sample problem:

A) State the vertex of the following graph.

B) What is the y intercept?

C) What are the x intercept(s)?

Answers:

A) -b        2     = (2, -1)    

    2a     2(2/4)

B) Y= 2/4X^2-2X+1     Y- intercept = 1

C) X- intercept.  

     X-Intercepts are 3.4 and .6