Estimating values and a maximum from a graph

Estimating values and a maximum from a graph

Secondary 2
TGM Original Questions

For \(y=5+2x-x^2\):

  1. complete the missing table values \(m,n\)
  2. draw the graph for \(-3\le x\le4\)
  3. estimate
    1. \(y\) when \(x=0.5\),
    2. the values of \(x\) when \(y=-3\), and
    3. the \(x\)-coordinate of the maximum.
\(x\)-\(3\)-\(2\)-\(1\)\(0\)\(1\)\(2\)\(3\)\(4\)
\(y\)-\(10\)\(m\)\(2\)\(5\)\(6\)\(n\)\(2\)-\(3\)

Solution:

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Answer:(a) \(m=-3,n=5\); (c)(i) \(5.75\); (ii) \(x=-2,4\); (iii) \(x=1\).

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