Learning Resources

Solutions

1. From the mapping , write the transformational form as below:

Now convert it into standard form as follows:

To change to general form, multiply the binomial and simplify:

2. Substitute the vertex (2, -1) into the transformational form of the quadratic

This form of the equation will represent an infinite number of parabolas that passes through the given vertex since for every change of a a new parabola will exist.

For standard form

For general form

Note that in this case for , the b = -4a and c = 4a - 1 .