Two graphs from value tables

Two graphs from value tables

Secondary 2
14 marks
TGM Original Questions

Optional extension

For \(y=x^2+4x-5\):

  1. find the missing table value \(p\)[2]
  2. plot it for \(-6\le x\le2\)[2]
  3. estimate
    1. \(y\) at \(x=-4.5\),[2]
    2. \(x\) when \(y=-4\), and[2]
    3. the least value.[2]
    1. plot \(y=-x-1\) using its table[2]
    2. solve the intersection equation.[2]
\(x\)-\(6\)-\(5\)-\(4\)-\(3\)-\(2\)-\(1\)\(0\)\(1\)\(2\)
\(y\)\(7\)\(0\)-\(5\)\(p\)-\(9\)-\(8\)-\(5\)\(0\)\(7\)
\(x\)-\(6\)-\(2\)\(2\)
\(y=-x-1\)\(5\)\(1\)-\(3\)

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) \(p=-8\) (c)(i) \(-2.8\) (ii) \(x\approx-4.2,0.2\) (iii) \(-9\) (d)(ii) \(x\approx-5.7,0.7\). (b) See the completed graph.

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