Question

For which of the following graphs of the function $y=a{x}^2+bx+c$, we will get $a>0\&D<0.$

• A.
• B.
• C.
• D.

Answer 1

Answer: (C), (D)

Given the equation: $y=a{x}^2+bx+c$
Now, we have to find the function $y=a{x}^2+bx+c$ , for which $a>0\&D<0.$
Now, $D<0\Rightarrow$ The equation have no real roots.
Thus, it won't intersect the $x-$ axis at any points.
$\therefore$ The graph for which these conditions are satisfied are:

And