##
**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 (y

_{1}-y

_{2})/(x

_{1}-x

_{2})

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 -3**^{2}
-3

^{2} = -1 * 3 * 3

= -(3)

^{2}
-3

^{2} ≠ (-3)

^{2}
= (-3) * (-3)

**Simplify 2 √ab**
2 √(ab) ≠

^{2}√(ab)

= √a * √b

= a

^{½} * b

^{½}
2 √(ab) = 2 * √a * √b

= 2 * a

^{½ }* b

^{½}
^{}**
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