Quadratic Functions and Models (HSC SSCE Mathematics Standard): Flashcards

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Quadratic Functions and Models
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Type of function with x2x^2 term

Quadratic function

Shape of quadratic function graph

Parabola (U-shaped curve)

General form of quadratic function

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

Equation of basic parabola

y=x2y = x^2

Point where parabola changes direction

Vertex or turning point

Effect of positive aa in y=ax2+bx+cy = ax^2 + bx + c

Opens upward, minimum turning point

Effect of negative aa in y=ax2+bx+cy = ax^2 + bx + c

Opens downward, maximum turning point

Effect of larger coefficient on parabola width

Makes parabola narrower (steeper)

Effect of adding constant to x2x^2

Shifts parabola vertically upward

Uses quadratic function for real-world situation

Quadratic model

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