Given the curve of a given function y=f(x), you may be required to sketch transformations of the curve. Transformations can shift, stretch and flip the curve of a function.
A y-transformation affects the y coordinates of a curve. You can identify a y-transformation as changes are made outside the brackets of y=f(x).
x-transformations always behave in the opposite way to what is expected. They can be identified when changes are made inside the brackets of y=f(x).
See Curve Sketching for some more practice questions on Transformations.
Also see other Things to Remember.
We have collated past exam questions on Transformations so that you may focus your concentration on this particular subject (answers on the back pages). Alternatively, visit our Questions by Topic page to see which topics you can focus on.
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This exam question involves completing the square and using the transformations to sketch the curve of the quadratic.