Question 5 • TX-Pre-Calculus
Compare the equation with the standard form (y − k)² = 4p(x − h). Here h = 2, k = −5, and 4p = 10, so p = 2.5. Since p is positive, the graph opens to the right, and its axis of symmetry is y = −5. The vertex is (2, −5), not (−5, 2); the focus formula is (h + p, k), and the directrix is x = h − p = −0.5.
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