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  • Which of the parabola open downwards? <img alt="\\(i)\;\;x^2+x+1\\(ii)\;\;-2x^2+4x+2\\(iii)\;\;x^2-3x+4\\(iv)\;\;6x^2-8x-2" src="https://entrancecorner.oncodecogs.com/gif.latex?%5C%5

Which of the parabola open downwards?

\\(i)\;\;x^2+x+1\\(ii)\;\;-2x^2+4x+2\\(iii)\;\;x^2-3x+4\\(iv)\;\;6x^2-8x-2

Option: 1

(i) and (ii)


Option: 2

(ii) and (iii)


Option: 3

(iii) and (iv)


Option: 4

(ii) only


Answers (1)

best_answer

 

 

Graphical Representation of Quadratic Equation -

 

In the general quadratic equation if  \\\mathrm{y = ax^2 + bx + c = f(x)} and if a>0 

Then the parabola opens upward. As given below,

if a<0 it opens downward. As given below,

            

-

 

 

for quadratic equation, ax^2+bx+c  if a > 0 then graph open upwards and if a < 0 then graph open downwards,

Posted by

himanshu.meshram

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