Question

The graph of $y=x^2+3x+4$

• A. lies entirely below the x-axis.
• B. lies entirely above the x-axis.
• C. cuts the x-axis.
• D. touches the x-axis and lies below it.

Answer 1

The correct option is B lies entirely above the x-axis.

Compare $a{x}^2+bx+c=0$ with the given equation, then $a=1,b=3,c=4$
We get $b^2-4ac<0$ for the given equation which implies it has imaginary roots
and since $a>0$, the graph lies entirely above x axis.