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)

Find the Directrix (y+ square root of 3)^2=-4 square root of 2(x- square root of 2)
Reformulate the equation as the vertex.
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Isolate to the left side of the equation.
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Should be rewritten the equation as .
First, divide each term by and simplify.
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Divide each term in by .
Clarify the left side of the equation by cancelling the common factors.
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The common factor should be canceled of .
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Cancel the common factor.
Reformulate the expression.
The common factor should be canceled.
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Cancel the common factor.
Divide by .
Clarify .
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First, multiply by .
Add and Clarify the denominator.
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Multiply and .
Put .
Raise to the power of .
Raise to the power of .
Apply the power rule to Add exponents.
Add and .
Rewrite as .
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Rewrite as .
Use the power rule when multiplying the exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Solve the exponent.
Clarify the expression.
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Multiply by .
Put the negative in front of the fraction.
Add to both sides of the equation.
Shift terms.
Complete the square for .
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Clarify each term.
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Rewrite as .
Expand using the FOIL Method.
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Use the distributive law.
Apply the distributive property.
Apply the distributive property.
Clarify and combine like terms.
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Simplify each term.
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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.
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Combine and .
Cancel the common factor of .
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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 .
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Multiply by .
Combine and .
Simplify each term.
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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.
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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.
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Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
The common factor should be canceled and .
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Factor out of .
The common factors should be canceled.
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Cancel the common factor.
Rewrite the expression.
First, divide by .
Find the value of using the formula .
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Subtract from .
Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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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 .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by zero.
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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 .
Calculate , 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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The common factor should be canceled and .
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Rewrite as .
Move the negative in front of the fraction.
Combine and .
The common factor should be canceled and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the denominator's reciprocal.
First, multiply by .
Multiply by .
Find the directrix.
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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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