Maths-
General
Easy

Question

Graph of y = ax2 + bx + c = 0 is given adjacently. What conclusions can be drawn from this graph –

  1. a > 0    
  2. b < 0    
  3. c < 0    
  4. All of the above  

Hint:

So in this question, we have a graph given and we have to do it. As we can see the curve and it is of the parabola and by using the properties of the parabola and its equation, we can answer these questions easily.

The correct answer is: All of the above


    As we can see from the graph we have a parabola curve and since it is opening in an upward direction. So we can say that a > 0 and
    Hence, the option (ais correct.
    Here, we can see that the vertex of the parabola is located in the fourth quadrant , therefore it will be = fraction numerator b squared over denominator 2 a end fraction space greater than space 0
    On further solving this, we get
    b space less than space 0 
    Therefore, the option (b) is also correct.
    Since, at x=0 , the y intercept will be positive and from this, we can conclude that c < 0 and
    Hence, the option (cwill also be correct
    On checking all the options, and we can see all options are correct and
    Therefore, we conclude that all the options available are correct.

    Here we can see that the graph was given to us and us to take out the conclusion from that since we have the options available so I would suggest you to always start to check from the options because by the use of options we can see how easily we concluded this question.

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