Find the Focus (x-1)^2=-(y-2)

Math
Isolate to the left side of the equation.
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Rewrite the equation as .
Multiply each term in by
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Multiply each term in by .
Simplify .
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Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply .
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Multiply by .
Multiply by .
Multiply by .
Simplify .
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Move to the left of .
Rewrite as .
Add to both sides of the equation.
Use the vertex form, , to determine the values of , , and .
Find the vertex .
Find , the distance from the vertex to the focus.
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Find the distance from the vertex to a focus of the parabola by using the following formula.
Substitute the value of into the formula.
Cancel the common factor of and .
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Rewrite as .
Move the negative in front of the fraction.
Find the focus.
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The focus of a parabola can be found by adding to the y-coordinate if the parabola opens up or down.
Substitute the known values of , , and into the formula and simplify.
Find the Focus (x-1)^2=-(y-2)

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