Mr. Smith wants to build a rectangular gate with a diagonal as support. If the width and height are 4 ft and 3 ft respectively,
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You would best do this by completing the square on the quadratic and subbing in the vertex they give you, like this:
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the
equal to 1/2 and solve for c, which is the whole point of what we are doing, right?
and 
and c = 4. So that's our answer!
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the