(a) Given that \(k\) is a positive constant such that \(0 < k < 4\) sketch, on separate axes, the graphs of
\(y = ( 2 x - k ) ( x + 4 ) ^ { 2 }\)
\(y = \frac { k } { x ^ { 2 } }\)
showing the coordinates of any points where the graphs cross or meet the coordinate axes, leaving coordinates in terms of \(k\), where appropriate.
(b) State, with a reason, the number of roots of the equation
$$( 2 x - k ) ( x + 4 ) ^ { 2 } = \frac { k } { x ^ { 2 } }$$