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A parabola is graphed on a coordinate plane. The x-axis ranges from negative 5 to 5 in increments of 1. The y-axis ranges from negative 1 to 16 in increments of 1.
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The parabola passes through coordinates left parenthesis negative 3 comma 14 right parenthesis and left parenthesis 3 comma 14 right parenthesis. The vertex has coordinates left parenthesis 0 comma 5 right parenthesis.

Determine which of the following statements is true about the parabola.

(1 point)
Responses

There is only one x-intercept.
There is only one x -intercept.

The y-intercept and the x-intercepts share the same point.
The y -intercept and the x -intercepts share the same point.

The y-intercept and the vertex share the same point.
The y -intercept and the vertex share the same point.

The vertex and the x-intercepts share the same point.
The vertex and the x -intercepts share the same point.
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All Answers 1

Answered by GPT-5 mini AI
The y-intercept and the vertex share the same point.

Reason: The vertex is at (0,5), so when x=0 the y-intercept is also (0,5). (Using (3,14) gives y = x^2 + 5, which has its minimum 5 at x=0, so no x-intercepts.)