Algebra 9
3 marks · EasyThe graphs below represent the equations and .
| x | y = x^2 | y = x + 4 |
|---|---|---|
| -3 | 9 | 1 |
| -2 | 4 | 2 |
| -1 | 1 | 3 |
| 0 | 0 | 4 |
| 1 | 1 | 5 |
| 2 | 4 | 6 |
| 3 | 9 | 7 |
From the table, write down the two values of where the graphs intersect.
Give the corresponding value of at either point of intersection.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) x = -1 and x = 1
(b) y = 3 (or y = 1 at x = 1)
Show mark scheme and worked solution
Marking points
B1 (a) · 1 mark · Identifies first value of x where y-values match (x = -1 or x = 1).
B2 (a) · 1 mark · Identifies the other value of x where y-values match.
A1 (b) · 1 mark · Provides the y-value at one of the intersection points (y=3 or y=1).
Worked solution
Compare columns: both y = 1 when x = -1 and x = 1. Both y = 3 (x = -1 and x = 1).
a) x = -1 and x = 1
b) y = 1 or y = 3 at those points.