IB Revision Bank
About

← back to Mathematics topic 2

21N.1.AHL.TZ0.10

pestleMathematicsAIHLPaper 121N· sl-2-4-key-features-of-graphs-intersections-using-technologysource ↗

The graph of y=f(x) is given on the following set of axes. The graph passes through the points (−2, 6) and (0, 1), and has a horizontal asymptote at y=0.

Let g(x)=2f(x−2)+4.

Find g(0).

[2]
a.

On the same set of axes draw the graph of y=g(x), showing any intercepts and asymptotes.

[2]
b.
Markscheme / solution

g(0)=16              M1A1


[2 marks]

a.

y-asymptote y=4            A1

concave up decreasing curve and passing through (0, 16)            A1


[2 marks]

b.
Examiners’ report

This question was not particularly well done. Candidates often failed to apply the transformation of the function correctly and did not understand how to use the algebra of graphical transformations. Others applied the geometry of stretches and translations, often incorrectly. Even if the graph was drawn correctly, some candidates failed to follow the instruction to show the asymptote.

a.

This question was not particularly well done. Candidates often failed to apply the transformation of the function correctly and did not understand how to use the algebra of graphical transformations. Others applied the geometry of stretches and translations, often incorrectly. Even if the graph was drawn correctly, some candidates failed to follow the instruction to show the asymptote.

b.