One function
to the corresponding graph:
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One function
to the corresponding graph:
To solve this problem, we need to match the function with its graph. This function represents a downward-opening parabola with the vertex at the origin . The coefficient is negative, confirming it opens downwards, and its large absolute value indicates that the parabola closes towards the axis more sharply than a standard curve.
Let's identify the characteristics of :
- The graph is a parabola, opening downwards.
- The vertex is at the origin, .
- Symmetric around the y-axis.
- Its steepness is greater than the standard parabola due to the coefficient .
By analyzing the given graph options, the graph marked as 4 aligns perfectly with these properties: It is centered on the origin, opens downwards, and has an evident steep slope.
Therefore, the correct graph that matches the function is option 4.
4
One function
\( y=-2x^2-3 \)
to the corresponding graph:
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