Find the Focus (x-1)^2=4(y-1)

Math
Isolate to the left side of the equation.
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Rewrite the equation as .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Add to both sides of the equation.
Reorder terms.
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.
Simplify.
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Combine and .
Simplify by dividing numbers.
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Divide by .
Divide by .
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=4(y-1)

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