The quadratic function is .

a.

Find the -intercept.

The standard form of quadratic function , where .

Rewrite the function .

and .

The -intercept of the equation is .

Find the equation of the axis of symmetry and -coordinate of the vertex.

The equation of the axis of symmetry is .

            (Substitute the values and )

                        (Simplify)

The -coordinate of the vertex is .

The equation of the axis of symmetry is and -coordinate of the vertex is .

b.

Make a table of values that includes the vertex.

\ \	\ \	\ \	\ \
\ \	\ \	\ \	\ \
\ \	\ \	\ \	\ \
\ \	\ \	\ \	\ \
\ \	\ \	\ \	\ \

c.

Graph:

Plot the points obtained in the table.

Graph the quadratic function :

.

a.

The -intercept of the equation is .

The equation of the axis of symmetry is and -coordinate of the vertex is .

b.

Table:

\ \	\ \	\ \	\ \
\ \	\ \	\ \	\ \
\ \	\ \	\ \	\ \
\ \	\ \	\ \	\ \
\ \	\ \	\ \	\ \

c.

The graph of the quadratic function is

.