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Use the graph of the parabola to fill in the table .

Use the graph of the parabola to fill in the table .-example-1
User Lukas Warsitz
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1 Answer

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ANSWER and EXPLANATION

(a) A parabola opens upwards if it makes a U shape on the graph and it opens downwards if it makes an n shape on the graph.

Therefore, the given graph opens upward.

(b) The vertex of a parabola is the maximum/minimum point on the parabola i.e. the highest/lowest point on the parabola.

The parabola has a lowest point, hence, the vertex of the given parabola is:


(2,1)

(c) The equation of the axis of symmetry is the equation of the x-coordinate of the vertex of the parabola.

Therefore, the equation of the axis of symmetry of the graph is:


x=2

(d) The x-intercept of a graph is the point where the graph touches the x-axis. The given graph has no x-intercept since it does not touch the x-axis.

The y-intercept of a graph is the point where the graph touches the y-axis. Therefore, the y-intercept of the parabola is 5.

User Amadi
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