A-LevelMathematicsFunctions9709/12 · Oct/Nov 2022 · Q55 Marks
The graph with equation y = f(x) is transformed to the graph with equation y = g(x) by a stretch in the x-direction with factor 0.5, followed by a translation of [Figure X.X]. [Figure X.X] The diagram below shows the graph of y = f(x).
- (a)The diagram below shows the graph of y = f(x). On the diagram sketch the graph of y = g(x).[3]
- (b)Find an expression for g(x) in terms of f(x).[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- B1 All 5 points of the graph must be connected. Three points at the bottom of their transformed graph plotted at y = 2
- B1 Must be this shape. Bottom three points of M at x = 0, x = 1 & x = 2
- B1 Condone extra cycles outside 0≤x≤2. All correct
- SC: If B0 B0 scored, B1 available for Λ in one of correct positions or all 5 points correctly plotted and not connected or correctly sized shape in the wrong position.
- B1 B1 Award marks for their final answer as follows: f(2x) B1, + 1 B1. Condone y = or f(x) = . [g(x) =] f(2x) + 1
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