Wednesday, 13 February 2013

Lesson Summary 13/2/13 Poon Jia Qi

Quadratic Graph Plotting

Things to note when plotting:
- Do the whole question on a piece graph paper
- A table of values will be provided, but some values will be missing
- The scale for the X and Y axis may be different, don't assume they are the same (Write the scale on your paper if you have time)  [e.g. -4 ≤ x ≤ 4]

- Draw in PENCIL
- Plot your points, be consistent and use crosses (x)
- Write your equation after you're done


Possible questions:

1. Find the turning point, using the graph
       - Characteristics
          • Tangent = 0
          • Minimum or maximum point
          • Use the line of symmetry to find out the turning point

2. Tangent
       - Draw the tangent line on the graph
       - Find the gradient of the line, using the formula (y1-y2)/(x1-x2)

3. Intersection of two equations
       - Plot the other equation (Normally a linear graph)
       - Find the intersection points of the two equations and write them down

4. Co-ordinates
       - Represent in the form (x,y)


Additional Indices notes:

Simplify -32
-32 = -1 * 3 * 3
        = -(3)2
-32 ≠ (-3)2
        = (-3) * (-3)

Simplify 2 √ab
2 √(ab) ≠ 2√(ab)
            = √a * √b
            = a½ * b½

2 √(ab) = 2 * √a * √b
               = 2 * a½ * b½

Simplify 2 √(ab) * 3 √(ab)
2 √(ab) * 3 √(ab) = 2 * √a * √b * 3 * √a * √b
                            = 6 (√a)2 (√b)2
                            = 6ab


Good luck for the upcoming level test and study hard ^^
p.s. Sorry for the late post

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