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Year 9 Maths Introduction to Quadratic Equations and Graphs

Families of Graphs

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Question 1
202487

The table of values for two rules is shown. The points are plotted and joined on the same number plane. Which statement is true?

\(x\)\(-2\)\(-1\)\(0\)\(1\)\(2\)
\(\text{Line A: } y = x + 2\)\(0\)\(1\)\(2\)\(3\)\(4\)
\(\text{Line B: } y = x - 1\)\(-3\)\(-2\)\(-1\)\(0\)\(1\)
Lines A and BLine A (solid) through (-2, 0), (0, 2), (2, 4). Line B (dashed) through (-2, -3), (0, -1), (2, 1). The lines are parallel. x y −3 −2 −1 1 2 3 −4 −3 −2 −1 1 2 3 4 5 AB
A.
The lines cross at \((0, 0)\).
B.
The lines are parallel. Line A is always \(3\) units above line B.
C.
Line A goes up and line B goes down.
D.
The lines will cross if they are extended far enough.
The lines are parallel. Line A is always \(3\) units above line B.

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