Find the Axis of Symmetry 1/2(x-5)^2-2

Math
Set the polynomial equal to to find the properties of the parabola.
Isolate to the left side of the equation.
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Combine and .
Reorder terms.
Use the vertex form, , to determine the values of , , and .
Since the value of is positive, the parabola opens up.
Opens Up
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 .
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 axis of symmetry by finding the line that passes through the vertex and the focus.
Find the Axis of Symmetry 1/2(x-5)^2-2


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