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Videos, activities and worksheets that are suitable for A Level Maths. Transformations of Graphs Proof (Translations, Reflections, Stretches)

Transformations of Graphs (translations) Proof

Why y=f(x ± a) translates a graph left and right and y=f(x) ± a translates a graph up and down depending on the value of 'a'.

Why y= - f(x) reflects a graph in the x-axis and why y=f(-x) reflects a graph in the y-axis.

Why y = af(x) stretches a graph y=f(x) by a factor of 'a' parallel to the y-axis

Why y=f(ax) stretches the graph by a factor of '1/a' parallel to the x-axis

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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