Graph transformations
What Graph transformations means in Mathematics A-Level, as defined for AQA, WJEC.
Definitions of Graph transformations
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Reference: WJEC
Changes that alter the position and shape of the graph of y = f(x) in predictable ways, operating either outside or inside the function.
A change to a graph's position, size or orientation, produced by forms such as y = af(x), y = f(x) + a, y = f(x + a) and y = f(ax).
y=a^(x+b) shifts left by b, y=ka^x stretches vertically by k, and y=a^(-x) reflects in the y-axis.
Topics that use Graph transformations
- B: Algebra and functions (AQA A-Level)
- F: Exponentials and logarithms (AQA A-Level)
- Algebra and Functions (AS Unit 1: Pure Mathematics A) (WJEC A-Level)
Related terms
- Asymptote
- Asymptotes
- Completing the square
- critical values
- direct proportion
- Discriminant
- Factor theorem
- graphical intersections
Using Graph transformations in the exam
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