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\(\pi\)
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\(\frac{a}{b}\)
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\(\sqrt{\,}\)
\(a^{b}\)
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The path of a projectile is modelled by a quadratic function \(y = a(x-h)^2 + k\).
The maximum height of 20 metres is reached at a horizontal distance of \(x=2\) metres.
The projectile launches from the ground at the origin \((0,0)\).
Identify the values of \(h\) and \(k\) from the vertex information.
Use the point \((0,0)\) to calculate the value of the parameter \(a\).
Write the full equation and find where the projectile lands.
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