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Question: Find the x-intercepts by graphing the related function of the equation - x2 - 4x = 3.


A ) 3 and 1
B ) - 3 and - 1
C ) - 3 and 1
D ) 3 and - 1

Steps to derive

 [Standard form of a quadratic equation.]
1 ax2 + bx + c = 0

 [Original equation.]
2 - x2 - 4x = 3

 [Subtract 3 from each side.]
3 - x2 - 4x - 3 = 0

4 Sketch the graph of the related quadratic function y = - x2 - 4x - 3 as shown below:


5 In the graph shown, the x-intercepts are - 3 and - 1.



Hence the right answer is Option B

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