You can
put this solution on YOUR website!(x-4 ) = 1/4 (y+1)^2
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leading coefficient is positive, therefore it is a horizontal parabola, pointed right.
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vertex is at ,,,,( 4, -1 ),,, and axis of symmetry is at y= -1
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checking a few points (4,-1),,,,(4.25,0),,,,(4.25, -2), ok