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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 AnsellC
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ANSWER

The parabola opens downward

The vertex of the coordinate is (-2, 0)

The equation of axis symmetry is x = -b/2a (x = -2)

The y-intercept is -3

Step-by-step explanation

Firstly, we need to determine if the curve of the parabola is open downward or upward.

From the given graph, you will see that the curve is open downward. That is the curve of the parabola is facing

down. Hence, the parabola is open downward

Part B

Find the coordinate of the vertex

The coordinate of the vertex is the midpoint of the parabola, and it is (-2, 0)

Part C

Find the equation of the axis of symmetry

The axis of symmetry of a parabola is the vertical line that divides the parabola into two congruent halves. From the given graph, we can see that the point at which the parabola is divided into two equal halves is at


x\text{ = - }(b)/(2a)

x = -2

Part D

The graph of the parabola does not have an x-intercept but the y-intercept is -3

User Olaf
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