Question 540645
f(x) = (x+8)^2 -7
f(x) = x^2 +16x + 64 -7
f(x) = x^2 +16x + 57
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{{{ graph(500,500,-12,5,-12,5,x^2+16x+57) }}}
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The axis is symmetry is defined by x = -b/2a
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-b/2a = -16/2 = -8
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The vertex is found by finding f(x) for x = -8.
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f(x) = (-8)^2 +16(-8) + 57
f(x) = 64 -128 + 57
f(x) = -7
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Vertex = (-8,-7)
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Done.