Question

For the quadratic equation $a{x}^2+bx+c=0.$ Match the following graphs with the conditions given.

• A. $a>0,D=0$
• B. $a>0,D<0$
• C. $a>0,D>0$

Answer 1

Given$:1)$
In this graph parabola is opening upwards $\Rightarrow a>0.$ Also, the graph is touching the $x-$ axis at one point $\Rightarrow D=0.$

$2)$
The parabola is opening upwards $\Rightarrow a>0.$
Also it's cutting the $x-$ axis at $2$ different points which means two different roots $\Rightarrow D>0.$

$3)$
In this graph parabola is opening upwards $\Rightarrow a>0.$
Also it's not intersecting at any point with the $x-$ axis.
$\Rightarrow D<0.$