AM1: Basic Algebraic Skills
AM1: Basic Algebraic Skills
AM2: Modelling Linear Relationships
AM3: Algebraic Skills and Techniques
AM4: Modelling Linear and Non-linear Relationships
Examples:
Parabola
If a is positive, the parabola is concave up
If a is negative, the parabola is concave down
For the graph y = ax2 : a ⇢ high number: tall and steep
a ⇢ low number: short and flat
The effect of c on the graph y = ±ax2 + c: moves up(+c) or down(-c)
The effect of b on the graph y = ±ax2 + bx + c: shifts left or right
Cubic
If a is positive, the curve is increasing
If a is negative, the curve is decreasing
For the graph y = ax3 : a ⇢ high number: curve is tall and steep
a ⇢ low number: curve is short and flat
Exponential Function
If a>1: the exponential curve is increasing
If 0 ................
................
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