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The equation represents a parabola. Make a rough sketch of the graph of the given function…

Mathematics20254 marksShort answer
The equation $y = 4 - x^2$ represents a parabola.
(a)[1.0]
Make a rough sketch of the graph of the given function.
(b)[2.0]
Determine the area enclosed between the curve, the $x$-axis, the lines $x = 0$ and $x = 2$.
(c)[1.0]
Hence, find the area bounded by the parabola and the $x$-axis.

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Application of Integrals

From ISC 2025 Mathematics Paper 1, question 18(i).