# Find the Properties x to the power of two equals four y

Find the Properties x^2=4y
Reformulate the equation as the vertex.
Isolate to the left side of the equation.
Should be rewritten the equation as .
First, divide each term by and simplify.
Divide each term in by .
The common factor should be canceled of .
Cancel the common factor.
Divide by .
Complete the square for .
Consider the form, to find the values of , , and .
Consider the vertex form of a parabola.
Replace the values of and into the formula .
Clarify the right side.
The common factor should be canceled and .
Factor out of .
The common factors should be canceled.
Cancel the common factor.
Reformulate the expression.
First, multiply the numerator by the denominator's reciprocal.
First, multiply by .
Find the value of using the formula .
Clarify each term.
Raising to any positive power yields .
Divide by .
First, divide by .
Multiply by .
Sum and .
Substitute the values of , , and into the vertex form .
Set equal to the new right side.
Consider the vertex form, , to determine the values of , , and .
Since the value of is positive, the parabola opens up.
Opens Up
Find the vertex .
Calculate , 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.
Combine and .
Clarify by dividing numbers.
Divide by .
Divide by .
Calculate the focus.
The focus of a parabola can be found by adding to the y-coordinate if the parabola opens up or down.
Replace the known values of , , and into the formula and simplify.
Calculate the axis of symmetry by Calculateing the line that passes through the vertex and the focus.
Calculate the directrix.
The directrix of a parabola is the horizontal line found by subtracting from the y-coordinate of the vertex if the parabola opens up or down.
Substitute the known values of and into the formula and simplify.
Analyze and plot the parabola using its characteristics.
Direction: Opens Up
Vertex:
Focus:
Axis of Symmetry:
Directrix:
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