First slide
Theory of expressions
Question

The graph of the quadratic trinomial y=ax2+bx+c has its vertex at (4, -5) and two x-intercepts, one positive and one negative. Which of the following holds good? 

Moderate
Solution

From figure,

a > 0

b2a=4 or b2a>0

     b<0    f(0)=c<0

Also, b2a=4 or 8a+b=0

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