Interpretation of Graphs (Grade 10 NSC Matric Mathematics): Flashcards

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Interpretation of Graphs
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Shape of parabola when x2x^2 coefficient is negative

Opens downward (inverted U-shape)

General form of hyperbola equation

y=ax+qy = \frac{a}{x} + q

How to find qq in y=ax2+qy = ax^2 + q

Use y-intercept (set x=0x = 0)

Method to find intersection points of two graphs

Set their equations equal and solve

How to find y-intercepts

Set x=0x = 0 in the equation

How to find x-intercepts

Set y=0y = 0 in the equation

Asymptotes in hyperbolas

Invisible boundary lines branches approach but never reach

Pattern characteristic of trigonometric functions

Wave-like patterns that repeat at regular intervals

Sign of aa when parabola opens upward

Positive (a>0a > 0)

Distance calculation for points on same vertical line

Add their distances from a reference point

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