Graph Transformations - Proofs
More Lessons for A Level Math
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'.
Transformations of Graphs (Reflections) Proof
Why y= - f(x) reflects a graph in the x-axis and why y=f(-x) reflects a graph in the y-axis.
Transformations of Graphs (stretches 1) Proof
Why y = af(x) stretches a graph y=f(x) by a factor of 'a' parallel to the y-axis
Transformations of Graphs (stretches 2) Proof
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.