A-Level Maths Edexcel (9MA0)

Understand the effect of simple transformations on the graph of $y = f(x)$, including sketching associated graphs:
$y = af(x)$, $y = f(x) + a$,
$y = f(x + a)$, $y = f(ax)$,
and combinations of these transformations

Students should be able to find the graphs of $y = |f(x)|$ and $y = |f(-x)|$, given the graph of $y = f(x)$.

Students should be able to apply a combination of these transformations to any of the functions in the A-Level specification (quadratics, cubics, quartics, reciprocal, $\frac{a}{x^2}$, $|x|$, $\sin{x}$, $\cos{x}$, $\tan{x}$, $e^x$ and $a^x$) and sketch the resulting graph.

Given the graph of $y = f(x)$, students should be able to sketch the graph of, e.g.
$y = 2f(3x)$, or $y = f(-x) + 1$, and should be able to sketch (for example)
$y = 3 + \sin{2x}$, $y = -\cos{(x+\frac{\pi}{4})}$