Summary (Grade 11 NSC Matric Mathematics): Flashcards

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Standard form of parabolic function

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

Effect of a>0a > 0 in parabola y=ax2+bx+cy = ax^2 + bx + c

Opens upward (U-shape)

Y-intercept of y=ax2+bx+cy = ax^2 + bx + c

(0;c)(0; c)

Axis of symmetry for y=ax2+bx+cy = ax^2 + bx + c

x=−b2ax = -\frac{b}{2a}

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

(−p;q)(-p; q)

Formula for average gradient

y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}

Standard form of hyperbolic function

y=kxy = \frac{k}{x}

Period of sine function y=asin⁡(kθ+p)+qy = a \sin(k\theta + p) + q

360°∣k∣\frac{360°}{|k|}

Period of tangent function

180°∣k∣\frac{180°}{|k|}

Standard form of exponential function

y=abxy = ab^x

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