What is the equation of the quadratic function represented by the graph?

What is the equation of the quadratic function represented by the graph?
  • A.
    y = x2 + x – 2
  • B.
    y = -x2 – x + 2
  • C.
    y = x2 – x – 2
  • D.
    y = -x2 – x + 2
Correct Answer: Option C
Explanation

The required equation is y = x2 – x – 2
i.e. B where the graph touches the graph touches the x-axis y = 0
x2 – x – 2 = 0 = (x + 1)(x – 2) = 0
Hence roots of the equation are -1 and 2 as shown in the graph

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