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

4.4 Day 1 video tutorial: graphing parabolas in vertex form
part 1
part 2
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.