Integration Stretch

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The initial problem looks at an area given between two curves. The first curve is a parabola with the x and y axis intercepts given. The second curve is a stretch parallel to the x-axis, with the challenge being to determine the stretch factor that fits with the area stated.

Having worked on specific examples, the next step is to determine results for a general situation. A Geogebra file models the situation visually, whilst a spreadsheet is provided to help pick through the algebraic steps.

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