day 1

day 2

### 4.4 quadratics in vertex form

By the end of these lessons you will be able to:

- sketch the graph of a parabola in vertex form

- state the vertex, axis of symmetry, domain, range, and direction of opening of a parabola in vertex form

- write the equation of a parabola in vertex form given the description of the transformations

- write the equation of a parabola in vertex form given the graph of the parabola

part 1

### part 3

Day 2 Video Tutorials: Writing the equation of a parabola in vertex form

part 1

part 2

part 3

Ontario Curriculum

Overall Expectations:

• determine the basic properties of quadratic relations;

• relate transformations of the graph of y = x2 to the algebraic representation   y = a(x – h)2 + k;

Specific Expectations:

- identify the key features of a graph of a parabola (i.e., the equation of the axis of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and the maximum or minimum value)

- sketch, by hand, the graph of y = a(x – h )2 + k by applying  Transformations to the graph of y = x2

- determine the equation, in the form y = a(x – h)2 + k, of a given graph of a parabola.