 by the end of this lesson you will be able to:

- interpret real and non-real roots of quadratics
- use the discriminate to determine how many solutions a quadratic will have
- use the quadratic formula to sketch the graph of a parabola video tutorial for 6.4 - using the quadratic formula to graph a parabola

Ontario curriculum

Overall Expectations

- solve quadratic equations and interpret the solutions with respect to the corresponding relations;

- solve problems involving quadratic relations.

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), and use the appropriate terminology to describe them;

- interpret real and non-real roots of quadratic equations, through investigation using graphing technology, and relate the roots to the x-intercepts of the corresponding relations;

- sketch the graph of a quadratic relation that is given in standard form

- solve problems arising from a realistic situation represented by a graph or an equation of a quadratic relation, with and without the use of technology