Constructing a downward-opening graph

Constructing a downward-opening graph

Secondary 2
6 marks
TGM Original Questions

The function is \(y=4-x^2\).

  1. Construct a table using integer values \(-3\le x\le3\).[1]
  2. Draw the graph.[2]
  3. State the turning point, line of symmetry and maximum value.[3]

Solution:

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Answer:(a) \(-5,0,3,4,3,0,-5\). (b) See graph. (c) Turning point \((0,4)\); symmetry \(x=0\); maximum \(4\).

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