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Question 10 • Algebra 1

Which graph represents a quadratic function with a vertex at 0 comma 0 ?

Answer

Image with description A coordinate plane with the x-axis labeled from negative 7.5 to 7.5 and the y-axis labeled from negative 2 to 6. An upward-opening parabola is plotted that passes through the point negative 2.5 comma 6, has a vertex at the point 3 comma 0, and passes through the point 7.5 comma 4.

Image with description A coordinate plane with the x-axis labeled from negative 7.5 to 7.5 and the y-axis labeled from negative 2 to 6. An upward-opening parabola is plotted that passes through the point negative 5 comma 6, has a vertex at the point 0 comma 0, and passes through the point 5 comma 6.

Image with description A coordinate plane with the x-axis labeled from negative 7.5 to 7.5 and the y-axis labeled from negative 2 to 6. An upward-opening parabola is plotted that passes through the point negative 5 comma 6, has a vertex at the point 0 comma 1, and passes through the point 5 comma 6.

Image with description A coordinate plane with the x-axis labeled from negative 7.5 to 7.5 and the y-axis labeled from negative 2 to 6. An upward-opening parabola is plotted that passes through the point negative 6 comma 6, has a vertex at the point 0 comma negative 1, and passes through the point 6 comma 6.

Explanation

A quadratic graph has its vertex at (0, 0) when its turning point is at the origin. Choice B describes a parabola with vertex (0, 0), so it matches. The other choices place the vertex at (3, 0), (0, 1), or (0, −1).

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