Quadratic Functions (Grade 11 NSC Matric Mathematics): Flashcards

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Quadratic Functions
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Shape of curve formed by a quadratic function

Parabola (U-shaped)

Direction parabola opens when a>0a > 0

Upward (has a minimum turning point)

Direction parabola opens when a<0a < 0

Downward (has a maximum turning point)

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

Vertical shift; also the y-intercept

Effect when p>0p > 0 in y=a(x+p)2+qy = a(x + p)^2 + q

Parabola shifts LEFT by pp units

Turning point of y=a(x+p)2+qy = a(x + p)^2 + q

(−p,q)(-p, q)

Axis of symmetry for y=a(x+p)2+qy = a(x + p)^2 + q

x=−px = -p

Domain of any quadratic function

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

How to find y-intercept of quadratic

Substitute x=0x = 0 into the equation

How to find x-intercepts of quadratic

Substitute y=0y = 0 and solve for xx

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