(a) Write

\(2x^2+3x-4\)

in the form \(a(x+b)^2+c\), where \(a\), \(b\) and \(c\) are constants.

(b) Hence write down the coordinates of the stationary point on the curve \(y=2x^2+3x-4\).

(c) Sketch the graph of

\(y=\left|2x^2+3x-4\right|,\)

showing the exact values of the intercepts of the curve with the coordinate axes.

(d) Find the value of \(k\) for which \(\left|2x^2+3x-4\right|=k\) has exactly 3 values of \(x\).