Quadratic Functions (Grade 10 NSC Matric Mathematics): Flashcards

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Quadratic Functions
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Form of a quadratic function

y=ax2+qy = ax^2 + q where aa and qq are constants

Shape of quadratic function graphs

Parabolas (U-shaped or inverted U-shaped curves)

Effect of parameter qq in y=ax2+qy = ax^2 + q

Vertical shift: up if q>0q > 0, down if q<0q < 0

When a>0a > 0 in y=ax2+qy = ax^2 + q, parabola...

Opens upward (smile) with minimum turning point

When a<0a < 0 in y=ax2+qy = ax^2 + q, parabola...

Opens downward (frown) with maximum turning point

Turning point of y=ax2+qy = ax^2 + q

(0,q)(0, q)

Y-intercept of y=ax2+qy = ax^2 + q

(0,q)(0, q)

Domain of y=ax2+qy = ax^2 + q

All real numbers ({x:x∈R}\{x : x \in \mathbb{R}\})

Range of y=ax2+qy = ax^2 + q when a>0a > 0

[q;∞)[q; \infty)

Axis of symmetry for y=ax2+qy = ax^2 + q

x=0x = 0 (the y-axis)

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