# Find the Directrix (y plus square root of three) to the power of two equals minus four square root of two(x minus square root of two)

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 .

Clarify the left side of the equation by cancelling the common factors.

The common factor should be canceled of .

Cancel the common factor.

Reformulate the expression.

The common factor should be canceled.

Cancel the common factor.

Divide by .

Clarify .

First, multiply by .

Add and Clarify the denominator.

Multiply and .

Put .

Raise to the power of .

Raise to the power of .

Apply the power rule to Add exponents.

Add and .

Rewrite as .

Rewrite as .

Use the power rule when multiplying the exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Solve the exponent.

Clarify the expression.

Multiply by .

Put the negative in front of the fraction.

Add to both sides of the equation.

Shift terms.

Complete the square for .

Clarify each term.

Rewrite as .

Expand using the FOIL Method.

Use the distributive law.

Apply the distributive property.

Apply the distributive property.

Clarify and combine like terms.

Simplify each term.

Multiply by .

Add using the product rule for radicals.

Multiply by .

Rewrite as .

Withdraw terms from under the radical.

The absolute value is the distance between a number and zero. The distance between and is .

Shift the factors of .

Add and .

Apply the distributive property.

Simplify.

Combine and .

Cancel the common factor of .

Move the leading negative in into the numerator.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Combine and .

Combine and .

Combine using the product rule for radicals.

Multiply by .

Multiply .

Multiply by .

Combine and .

Simplify each term.

Factor out negative.

Move the negative in front of the fraction.

Move the negative in front of the fraction.

To write as a fraction with a common denominator, multiply by .

Combine and .

Simplify the expression.

Add numerators over the common denominator.

Reorder the factors of .

Add and .

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.

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by by adding the exponents.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

The common factor should be canceled and .

Factor out of .

The common factors should be canceled.

Cancel the common factor.

Rewrite the expression.

First, divide by .

Find the value of using the formula .

Subtract from .

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by by adding the exponents.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Raising to any positive power yields .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by zero.

Divide by .

Multiply by .

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 .

Find the vertex .

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.

The common factor should be canceled and .

Rewrite as .

Move the negative in front of the fraction.

Combine and .

The common factor should be canceled and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply the numerator by the denominator's reciprocal.

First, multiply by .

Multiply by .

The directrix of a parabola is the vertical line found by subtracting from the x-coordinate of the vertex if the parabola opens left or right.

Substitute the known values of and into the formula and simplify.

The result can be displayed in a variety of ways.

Exact Form:

Decimal Form:

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