Question 1206303
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Vertex form is {{{y-k=a(x-h)^2}}} or {{{y=a(x-h)^2+k}}}<br>
All the answer choices are in the second form.  So with vertex (-6,0), the correct answer choice has to be in the form {{{y=a(x+6)^2+0}}}, or {{{y=a(x+6)^2}}}.<br>
Answer choices B and D are both in that form.  In answer choice B, a is 1/8; in answer choice D, a is -1/8.  Since the vertex is at (-6,0) and the graph passes through (2,8), we know that the parabola opens upward, which means a is positive, so answer choice B is correct.<br>
More formally, we can substitute x=2 in answer choices B and D to see which gives us the correct value of 8 for y.  With answer choice B, x=2 gives us y=8, which is correct; with answer choice D, x=2 gives us y=-8, which is not.  So again answer choice B is correct.<br>
ANSWER: B<br>