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Which of the following does not accurately describe the graph y=2x2+4?

AThe parabola is symmetric about the y-axis.

BThe parabola opens downward.

CThe parabola has the origin as its vertex.

DThe parabola crosses the x-axis in two different places.

Short Answer

Expert verified

A statement the parabola has the origin as its vertex does not accurately describe the graph.

Step by step solution

01

Step 1. Parabola.

Parabola is a curve which is symmetric about central line, that is, axis of symmetry and the axis of symmetry intersects the parabola at only one point called vertex.

02

Step 2. Graph the function.

Graph the given function.

03

Step 3. Write a conclusion.

From the graph, it can be observed that the parabola opens downward, the parabola is symmetric about the y-axis, the parabola crosses thex-axis in two different places and the vertex of parabola is at(0,4).

Therefore, the statement the parabola has the origin as its vertex does not accurately describe the graph. OptionCis the required answer.

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