Constructing and reading a quadratic graph

Constructing and reading a quadratic graph

Secondary 2
10 marks
TGM Original Questions

Optional extension

For \(y=8+2x-x^2\):

  1. complete the missing table value \(m\)[2]
  2. draw the graph for \(-3\le x\le5\)[2]
  3. use it to estimate
    1. the values of \(x\) when \(y=-1\), and[2]
    2. the roots[2]
  4. state the line of symmetry.[2]
\(x\)-\(3\)-\(2\)-\(1\)\(0\)\(1\)\(2\)\(3\)\(4\)\(5\)
\(y\)-\(7\)\(0\)\(m\)\(8\)\(9\)\(8\)\(5\)\(0\)-\(7\)

For graph readings, give values to the nearest 0.1 unit where an exact value cannot be read from the grid. Use the labelled axes and grid provided.

Solution:

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Answer:(a) \(m=5\) (c)(i) \(x\approx-2.2,4.2\) (ii) \(x=-2,4\) (d) \(x=1\). (b) See the completed graph.

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