For each equation, sketch the graph on your paper and label the x-intercept and y-intercept with their coordinates.
Sketch the graph. Label the x-intercept(s) and y-intercept. Show clearly whether the parabola opens upward or downward.
Sketch each graph and label all intercepts. Some may need rearranging first.
Mark Scheme — Key Intercepts
Section A: Straight Lines
1. y = 2x + 4 → y-int: (0, 4) x-int: (−2, 0)
2. y = −x + 3 → y-int: (0, 3) x-int: (3, 0)
3. y = 3x − 6 → y-int: (0, −6) x-int: (2, 0)
4. y = −2x − 4 → y-int: (0, −4) x-int: (−2, 0)
5. y = x + 5 → y-int: (0, 5) x-int: (−5, 0)
6. y = −3x + 9 → y-int: (0, 9) x-int: (3, 0)
7. y = ½x − 2 → y-int: (0, −2) x-int: (4, 0)
8. 2x + 3y = 12 → y-int: (0, 4) x-int: (6, 0)
Section B: Quadratics
9. y = x² − 9 → y-int: (0, −9) x-ints: (−3, 0) & (3, 0)
10. y = x² + 2x − 3 → y-int: (0, −3) x-ints: (−3, 0) & (1, 0)
11. y = x² − 5x + 6 → y-int: (0, 6) x-ints: (2, 0) & (3, 0)
12. y = −x² + 4 → y-int: (0, 4) x-ints: (−2, 0) & (2, 0) [∩ shape]
13. y = x² − 2x − 8 → y-int: (0, −8) x-ints: (−2, 0) & (4, 0)
14. y = x² + 6x + 9 → y-int: (0, 9) x-int: (−3, 0) repeated root
15. y = x² − x − 6 → y-int: (0, −6) x-ints: (−2, 0) & (3, 0)
16. y = −x² + 3x + 4 → y-int: (0, 4) x-ints: (−1, 0) & (4, 0) [∩ shape]
Section C: Mixed
17. 3x − 2y = 6 → y-int: (0, −3) x-int: (2, 0)
18. y = −x² + 2x + 8 → y-int: (0, 8) x-ints: (−2, 0) & (4, 0) [∩ shape]
19. y − 2x = 10 → y-int: (0, 10) x-int: (−5, 0)
20. y = x² − 4x → y-int: (0, 0) x-ints: (0, 0) & (4, 0)