(a).

Find the quadratic equation whose intercepts   .

When  .

The general form of quadratic equaton is .

Substitute and   in the above equation

The quadratic equation is .

.

Substitute and   in the above equation

Substitute and   in the above equation

Substitute and   in the above equation

(b) The value of does not affect the x-intercepts, but it changes the intercept by a factor of .

(c) The value of does not affect the axis of symmetry. It is for all values of .

(d) The value of does not affect the -coordinate of the vertex. However, the coordinate of the vertex is multiplied by .

(e) The mean of the intercepts is the coordinate of the vertex.

(a) :

      :

      :

      : .

(b) The value of does not affect the x-intercepts, but it changes the intercept by a factor of .

(c) The value of does not affect the axis of symmetry. It is for all values of .

(d) The value of does not affect the -coordinate of the vertex. However, the coordinate of the vertex is multiplied by .

(e) The mean of the intercepts is the coordinate of the vertex.