Graph of a Quadratic Function: Key Features

Graph of a Quadratic Function: Key Features

Secondary 2

The diagram below shows the graph of \(y=(2-x)(x+5)\). The graph cuts the \(y\)-axis at \(k\) and cuts the \(x\)-axis at the points \(A\) and \(B\).

Find

  1. the value of \(k\).
  2. the coordinates of point \(A\).
  3. the equation of the line of symmetry.

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Answer:(a) \(k=10\) (b) \(A=(-5,0)\) (c) \(x=-\frac32\)

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