Figure 1 shows a sketch of the curve C with equation y = f(x). The curve C passes through the origin O and touches the x-axis at the point (3, 0). There is a maximum point at (1, 4). Figure 1 (b) Write down the coordinates of the point where the curve with equation y = f(x) - 5 crosses the y-axis.
- (b)Write down the coordinates of the point where the curve with equation y = f(x) - 5 crosses the y-axis.[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. The mark or mark type is shown in brackets.
- M1 for setting x = 0 to find the y-intercept of the original curve, f(0) = 0.
- A1 for correctly stating the y-intercept of y = f(x) - 5 is (0, -5). (Accept if written separately as x = 0, y = -5).
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