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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

1 answer

Given the information about the parabola:

  • Vertex: (1, -4)
  • X-intercepts: x = -1 and x = 3, thus the x-intercepts are (-1, 0) and (3, 0).
  • Y-intercept: The parabola passes through the y-axis at y = -3, so the y-intercept is (0, -3).

Based on this, the correct identification of the intercepts is:

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

Therefore, the correct response is:

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