How do I do this?
Write an equation for the parabola whose vertex is (8, 6) and focus is (2, 6). Draw this parabola.
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If you sketch the graph...plot the vertex and focus...you will see that the parabola opens to the left.
The standard form for this parabola is , where
Now, the vertex is at (h, k) which makes h = 8, and k = 6.
The focus is defined as
Since your focus is at (2, 6), that would make
Solve for a.
Now you have a, h, and k.
Substitute into , and there you have it.