Non-Linear Relationships (HSC SSCE Mathematics Standard): Flashcards

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Quadratic Functions and Models
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Shape of quadratic function graph

Parabola (U-shaped curve)

General form of quadratic function

y=ax2+bx+cy = ax^2 + bx + c

Definition: quadratic function

Function containing x2x^2 term

Effect of positive aa on parabola

Opens upward (minimum turning point)

Effect of negative aa on parabola

Opens downward (maximum turning point)

Vertex of a parabola

Turning point where parabola changes direction

Axis of symmetry

Vertical line dividing parabola into mirror images

Effect of larger x2x^2 coefficient

Makes parabola narrower (steeper)

What is a quadratic model?

Quadratic function describing real-world situation

Stopping distance formula

d=5vt18+v2170d = \frac{5vt}{18} + \frac{v^2}{170}

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