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A parabola with vertex (h, k) has equation:

y = a(x - h)² + k

With vertex (-3, -1) this becomes:

y = a(x - -3)² + -1 = a(x + 3)² - 1

The point (4, 0) is on this parabola so:

0 = a(4 + 3)² - 1

→ 7²a = 1

→ a = 1/49

Thus the coefficient of x² is 1/49.

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