2.19: Completing the square, modulus quadratic sketch and solutions

Express $5x^{2} - 14x - 3$ in the form $p(x + q)^{2} + r$, where $p$, $q$ and $r$ are constants.

Sketch the graph of $y = |5x^{2} - 14x - 3|$ on the axes below. Show clearly any points where your graph meets the coordinate axes.

State the set of values of $k$ for which $|5x^{2} - 14x - 3| = k$ has exactly four solutions.