AP Precalculus Quiz
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FUNCTIONS INVOLVING PARAMETERS, VECTORS, AND MATRICES
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A spacecraft's orbit is modeled by an ellipse, as in Kepler's Laws. The standard form is (x−h)2a2+(y−k)2b2=1.\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1. Here, (h,k)(h,k) is the center, aa is the semi-major axis, and bb is the semi-minor axis. Engineers adjust aa to widen or tighten the orbit while keeping the center fixed. Refer to the equation provided in the passage: how does increasing aa affect the ellipse's horizontal extent?
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