Answer
The graph is shown below:
Work Step by Step
The parabolas ${{y}_{1}}={{\left( x-4 \right)}^{2}}-1,{{y}_{2}}={{\left( x-1 \right)}^{2}}+2$ , ${{y}_{3}}={{\left( x-3 \right)}^{2}}+1$ , and ${{y}_{5}}={{x}^{2}}-2x-3$ open upwards.
Thus, the parabola ${{y}_{4}}=4-{{\left( x-1 \right)}^{2}}$ opens downwards.
