2.12: Completing the square and a modulus graph

Express $4x^{2} + 8x - 5$ in the form $p(x + q)^{2} + r$, where $p$, $q$ and $r$ are constants to be found.

State the coordinates of the vertex of $y = \left\lvert 4x^{2} + 8x - 5 \right\rvert$.

On the axes below, sketch the graph of $y = \left\lvert 4x^{2} + 8x - 5 \right\rvert$, showing the coordinates of the points where the curve meets the axes.