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Table and graph of a quadratic

Table and graph of a quadratic

Secondary 2
10 marks
TGM Original Questions

Optional extension

For \(y=2x^2-8x-3\):

  1. find the missing table entry \(p\)[2]
  2. draw the graph for \(-1\le x\le5\)[2]
  3. find the minimum point[2]
  4. estimate
    1. the roots, and[2]
    2. solutions of \(2x^2-8x=5\).[2]
\(x\)-\(1\)\(0\)\(1\)\(2\)\(3\)\(4\)\(5\)
\(y\)\(7\)-\(3\)-\(9\)-\(11\)\(p\)-\(3\)\(7\)

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) \(p=-9\) (c) \((2,-11)\) (d)(i) \(x\approx-0.3,4.3\) (ii) \(x\approx-0.5,4.5\). (b) See the completed graph.

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