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Answer:64. Vertex The lowest point is at (0,−3)(0,−3).Vertex = (0, -3)65. Domain For parabolas, the domain is all real numbers.Domain = all real numbers (−∞,∞−∞,∞)66. Range The parabola opens upward, and the minimum y-value is −3−3.Range = ≥−3y≥−367. y-intercept The y-intercept is when =0x=0. From the table: =−3y=−3.y-intercept = (0, -3)68. x-intercept The parabola crosses the x-axis where =0y=0.From the pattern:Between (−2,1)(−2,1) and (−1,−2)(−1,−2), the curve must cross near =−1.27x=−1.27.Between (1,−2)(1,−2) and (2,−1)(2,−1), it crosses near =1.27x=1.27.x-intercepts ≈ (-1.27, 0) and (1.27, 0)69. Line of Symmetry A parabola is symmetric about the vertical line through its vertex.Line of Symmetry = =0x=070. Opening Since the vertex is a minimum, the parabola opens upward.Opening = Upward✅ Final Answers:Vertex = (0, -3)Domain = all real numbersRange = ≥−3y≥−3y-intercept = (0, -3)x-intercepts ≈ (-1.27, 0) and (1.27, 0)Line of Symmetry = =0x=0Opening = Upward

Answered by aldayamaxene5 | 2025-08-23