<PRE><B>Question 1206303</B>
&lt;pre&gt;
Which quadratic function in vertex form can be represented by the graph that has the vertex at (-6, 0) and passes through the point (2, 8)?

A. y = -1/8x^2 - 6
B. y = 1/8(x + 6)^2
C. y = 1/8x^2 - 6
D. y = -1/8(x + 6)^2

    &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;y = a(x - h)&lt;sup&gt;2&lt;/sup&gt; + k&lt;/font&gt;&lt;/font&gt;&lt;/b&gt; &lt;==== Vertex form of a quadratic function
    &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;8 = a(2 - - 6)&lt;sup&gt;2&lt;/sup&gt; + 0&lt;/font&gt;&lt;/font&gt;&lt;/b&gt; --- Substituting (- 6, 0) for (h, k), and (2, 8) for (x, y)
    &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;8 = a(8)&lt;sup&gt;2&lt;/sup&gt;&lt;/font&gt;&lt;/font&gt;&lt;/b&gt; 
    &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;8 = 64a&lt;/font&gt;&lt;/font&gt;&lt;/b&gt; 
   {{{matrix(2,3, 8/64, &quot;=&quot;, a, 1/8, &quot;=&quot;, a)}}}
                                                          &lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;y = a(x - h)&lt;sup&gt;2&lt;/sup&gt; + k&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;                                                      
Substituting {{{1/8}}} for a, and (- 6, 0) for (h, k) gives us: {{{matrix(1,3, y, &quot;=&quot;, (1/8)(x - - 6)^2 + 0)}}}
                                                         {{{highlight_green(matrix(1,6, y, &quot;=&quot;, (1/8)(x + 6)^2, &quot;(CHOICE&quot;, highlight(&quot;B.&quot;), &quot;)&quot;)))}}}&lt;/pre&gt;</PRE>