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The image below shows a bee hive hut which is situated on the side of the M1 motorway near Drogheda, Co - Leaving Cert DCG - Question A-1 - 2021
Question A-1
The image below shows a bee hive hut which is situated on the side of the M1 motorway near Drogheda, Co. Louth. The outline of the structure is a parabola. The draw... show full transcript
Worked Solution & Example Answer:The image below shows a bee hive hut which is situated on the side of the M1 motorway near Drogheda, Co - Leaving Cert DCG - Question A-1 - 2021
Step 1
Locate the remaining points on the right hand side of the parabola.
Answer
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Division of line CD: To divide line CD into equal segments, select a suitable number of intervals (e.g., four). Mark these divisions along the y-axis where line CD intersects.
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Construction lines: Draw vertical lines from the points of division on CD extending towards the parabola. This will help in locating the corresponding points on the parabola itself.
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Identify remaining points on RHS: Evaluate the points on the right-hand side of the vertex V by tracing the parabola's curve upward and downward to find the corresponding y-values at designated x-values.
Step 2
Locate the points on the left hand side of the parabola.
Answer
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Starting from the vertex V, use symmetry to find the points on the left-hand side. The parabola is symmetric, so for every point on the RHS, there exists a corresponding point on the LHS, equidistant from line y-axis.
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Complete divisions on line AB (the top line of rectangle ABCD) and repeat the same process as for line CD to find the specific coordinates on LHS.
Step 3
Complete the parabola in the rectangle ABCD.
Answer
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With both left and right points identified, sketch a smooth curve connecting all the points found.
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Ensure the curve smoothly transitions through the vertex V and adheres to the defined parabolic shape within rectangle ABCD.
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Maintain a consistent curvature to represent the nature of a parabola.