Find the Axis of Symmetry f(x)=-1/4(x-2)^2+3

Set the polynomial equal to to find the properties of the parabola.
Isolate to the left side of the equation.
Combine and .
Reorder terms.
Use the vertex form, , to determine the values of , , and .
Since the value of is negative, the parabola opens down.
Opens Down
Find the vertex .
Find , the distance from the vertex to the focus.
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.
Cancel the common factor of and .
Rewrite as .
Move the negative in front of the fraction.
Combine and .
Simplify the expression.
Divide by .
Divide by .
Multiply by .
Find the focus.
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 f(x)=-1/4(x-2)^2+3