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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