Graph Transformations - Proofs
Examples, solutions, 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?
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.