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(X +2)^2 - 5 = 0

X = - 4, Y = - 1

--------------------------- for intercepts

Just read it.

y = x2 +4x -1 (the standard form)

Since the vertex is (-2, -5), x = -2 is the equation of the axis of symmetry, also b= 4a (-b/2a = -2).

Since the parabola passes through (-4, -1) it also will passes through (0, -1), it means that c (y-intercept) equals to -1.

So we have,

y = ax2 + 4ax - 1 (replace x with -2, and y with -5)

-5 = 4a - 8a - 1

-4 = -4a

1 = a so that b = 4

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Q: How do you Find the equation of a parabola with the vertex x equals -2 y equals -5 and passes through x equals 4 y equals -1?
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