Maths-

General

Easy

Question

# Graph of y = ax^{2} + bx + c = 0 is given adjacently. What conclusions can be drawn from this graph –

- a > 0
- b < 0
- c < 0
- 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 (a) is correct.

Here, we can see that the vertex of the parabola is located in the fourth quadrant , therefore it will be =

On further solving this, we get

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 (c) will 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.