Provide an Appropriate Response $f ( x ) = a x ^ { 2 } + 4 x + 5$

Multiple Choice

Provide an appropriate response.
-For what values of a does the quadratic function $f ( x ) = a x ^ { 2 } + 4 x + 5$ have two $x$ -intercepts?

A) $a < \frac { 4 } { 5 }$
B) $a < \frac { 16 } { 5 }$
C) a $> \frac { 4 } { 5 }$
D) a $> \frac { 16 } { 5 }$