6.1 completing the square

 

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

- use the method of completing the square to change a quadratic from standard form to vertex form
- you will also be able to identify and interpret the meaning of the vertex 

 

steps for completing the square

 

sample problem

 

videos for this section:

1&2: completing the square with full explanation

3: completing the square with "some" explanation

4: Completing the square with no explanation (steps only)

video #1

video #2

video #3

video #4

 

Ontario curriculum


Overall Expectations

- 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;

- express y = ax2 + bx + c in the form y = a(x – h)2 + k by completing the square in situations involving no fractions, using a variety of tools

- 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