Question 10 — IGCSE 0580 Oct/Nov 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Symmetry. Worth 4 marks.
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Question text
10
y
NOT TO
SCALE
x
(–1, 0) (3, 0)
The sketch shows the graph of y = x2-2x-3.
The graph crosses the x-axis at (-1, 0) and (3, 0).
(a) Find the equation of the line of symmetry of the graph.
................................................. [1]
(b) (i) The point A with coordinates (6, k) lies on the graph.
Show that the value of k is 21.
[1]
(ii) The point B with coordinates (p, 21) also lies on the graph.
Find the value of p.
p = ................................................. [1]
(c) Write down the y-coordinate of the point where the graph crosses the y-axis.
................................................. [1]
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