Chapter 9: Functions and graphs Notes

Sections

1. 9A Sketching parabolas and intersections Mastered

   Sketching parabolas by completing the square into turning point form, and finding where a line meets a parabola by solving simultaneously.

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2. 9B Functions and their notation Mastered

   What makes a relation a function, the vertical line test, function notation f(x), evaluating functions, and domain and range.

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3. 9C Circles, exponentials and hyperbolas Mastered

   Equations of circles (x − h)² + (y − k)² = r², exponential graphs and their asymptotes, and hyperbolas y = k/x with translations.

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4. 9D Cubics and transformations of graphs Mastered

   Graphs of y = x³ and factorised cubics, x- and y-intercepts, and translations, reflections and dilations of any graph.

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