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A parabola opens upward on a coordinate plane. The vertex of the parabola is at the point left-parenthesis 1 comma negative 4 right-parenthesis. The parabola passes through the x axis at x equals negative 1 and x equals 3. It passes through the y axis at y equals negative 3.
Question
Use the graph to answer the question.
Identify the x- and y-intercepts of the graph.
(1 point)
Responses

x-intercepts: left-parenthesis negative 1 comma 0 right-parenthesis and left-parenthesis 3 comma 0 right-parenthesis
y-intercept: left-parenthesis 0 comma 3 right-parenthesis
x -intercepts: Image with alt text: left-parenthesis negative 1 comma 0 right-parenthesis and Image with alt text: left-parenthesis 3 comma 0 right-parenthesis y -intercept: Image with alt text: left-parenthesis 0 comma 3 right-parenthesis

x-intercepts: left-parenthesis negative 1 comma 0 right-parenthesis and left-parenthesis 3 comma 0 right-parenthesis
y-intercept: left-parenthesis 0 comma negative 3 right-parenthesis
x -intercepts: Image with alt text: left-parenthesis negative 1 comma 0 right-parenthesis and Image with alt text: left-parenthesis 3 comma 0 right-parenthesis y -intercept: Image with alt text: left-parenthesis 0 comma negative 3 right-parenthesis

x-intercepts: left-parenthesis 0 comma negative 1 right-parenthesis and left-parenthesis 0 comma 3 right-parenthesis
y-intercept: left-parenthesis 3 comma 0 right-parenthesis
x -intercepts: Image with alt text: left-parenthesis 0 comma negative 1 right-parenthesis and Image with alt text: left-parenthesis 0 comma 3 right-parenthesis y -intercept: Image with alt text: left-parenthesis 3 comma 0 right-parenthesis

x-intercepts: left-parenthesis 0 comma negative 1 right-parenthesis and left-parenthesis 0 comma 3 right-parenthesis
y-intercept: left-parenthesis negative 3 comma 0 right-parenthesis
x -intercepts: Image with alt text: left-parenthesis 0 comma negative 1 right-parenthesis and Image with alt text: left-parenthesis 0 comma 3 right-parenthesis y -intercept: Image with alt text: left-parenthesis negative 3 comma 0 right-parenthesis
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1 answer

To identify the x- and y-intercepts of the parabola based on the provided information:

  1. X-intercepts: Given that the parabola passes through the x-axis at x = -1 and x = 3, we can determine the x-intercepts:

    • The x-intercepts are \( (-1, 0) \) and \( (3, 0) \).

  2. Y-intercept: The problem states that the parabola passes through the y-axis at \( y = -3 \). Therefore, the y-intercept is:

    • The y-intercept is \( (0, -3) \).

Thus, the correct choice from the provided responses is:

  • X-intercepts: \( (-1, 0) \) and \( (3, 0) \)
  • Y-intercept: \( (0, -3) \)