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By the end of this unit, students will be able to:
understand the different types of graph transformations, including translations, reflections, stretches, and compressions;
apply transformation rules to graph various functions and shapes;
interpret how transformations affect the behaviour and appearance of functions and shapes.
National Curriculum Objectives
Key Stage 4: Algebra
recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = with x ≠ 0, {the exponential function y = kx for positive values of k, and the trigonometric functions (with arguments in degrees) y = sin x, y = cos x and y = tan x for angles of any size}
{sketch translations and reflections of the graph of a given function}