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source image created for vva via desmos; 2025 \\((1,0), (3,0), (2,-1)\\…

Question

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image created for vva via desmos; 2025
\\((1,0), (3,0), (2,-1)\\)
\\((1,0), (3,0)\\)
\\((1,0), (3,0), (0,3)\\)
\\((0,3)\\)

Explanation:

Identify the x-intercepts (zeros) of the parabola

The graph crosses the x-axis at the points where \(y = 0\):

$$ (1, 0) \quad \text{and} \quad (3, 0) $$

Identify the y-intercept of the parabola

The graph crosses the y-axis at the point where \(x = 0\):

$$ (0, 3) $$

Match with the given multiple-choice options

The third option lists these three key points:

$$ (1, 0), (3, 0), (0, 3) $$

Answer:

  • (A) \((1,0), (3,0), (2,-1)\)
  • (B) \((1,0), (3,0)\)
  • (C) \((1,0), (3,0), (0,3)\) (Correct answer)
  • (D) \((0,3)\)