Question 6 — IGCSE 0580 May/June 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Co-ordinate geometry · Equation of a straight line. Worth 12 marks.
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Question text
6
y
8
L
7
6
5
4
3
2
1
– 4 – 3 – 2 – 1 0 1 2 3 4 5 6 x
– 1
– 2
– 3
– 4
– 5
– 6
– 7
(a) Write down the equation of line L in the form y = mx+c.
y = ................................................. [2]
© UCLES 2023 0580/33/M/J/23
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(b) (i) Complete the table of values for y = x2-3x-3.
x -2 -1 0 1 2 3 4 5
y 1 -5 -5 1
[2]
(ii) On the grid, draw the graph of y = x2-3x-3 for -2 G x G 5. [4]
(c) (i) Write down the coordinates of the lowest point of the graph of y = x2-3x-3.
( ...................... , ...................... ) [1]
(ii) On the grid, draw the line of symmetry of the graph of y = x2-3x-3. [1]
(iii) Write down the equation of the line of symmetry.
................................................. [1]
(d) Write down the coordinates of the point where line L intersects the graph of
y = x2-3x-3 for x 2 0.
( ...................... , ...................... ) [1]
© UCLES 2023 0580/33/M/J/23 [Turn over
14
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