Sketch the graphs of the following parabolas showing the turning point and intercepts with the axes. Also write down the domain and range of each graph. 1. \( y=-(x-3)^{2}+4 \) 2. \( y=\frac{1}{2}(x+2)^{2}+2 \) 3. \( y=3(x+3)^{2}+4 \) 4. \( y=-2(x-1)^{2}+2 \)

1. \( y=-(x-3)^{2}+4 \): Turning Point: \( (3, 4) \), Intercepts: \( (0, -5), (5, 0), (1, 0) \), Domain: \( \mathbb{R} \), Range: \( (-\infty, 4] \) 2. \( y=\frac{1}{2}(x+2)^{2}+2 \): Turning Point: \( (-2, 2) \), Intercept: \( (0, 4) \), Domain: \( \mathbb{R} \), Range: \( [2, \infty) \) 3. \( y=3(x+3)^{2}+4 \): Turning Point: \( (-3, 4) \), Intercept: \( (0, 31) \), Domain: \( \mathbb{R} \), Range: \( [4, \infty) \) 4. \( y=-2(x-1)^{2}+2 \): Turning Point: \( (1, 2) \), Intercepts: \( (0, 0), (2, 0) \), Domain: \( \mathbb{R} \), Range: \( (-\infty, 2] \)