Algebra Examples

Move to the right side of the equation because it does not contain a variable.
Complete the square for .
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Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Find the value of using the formula .
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Multiply by .
Multiply by .
Find the value of using the formula .
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Simplify each term.
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Multiply by .
Simplify the numerator.
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Remove parentheses around .
One to any power is one.
Simplify the denominator.
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Remove parentheses.
Multiply by .
Multiply by .
Subtract from .
Substitute the values of , , and into the vertex form .
Substitute for in the equation .
Move to the right side of the equation by adding to both sides.
Complete the square for .
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Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Find the value of using the formula .
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Multiply by .
Multiply by .
Move the negative in front of the fraction.
Simplify .
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Multiply by .
Multiply by .
Find the value of using the formula .
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Simplify each term.
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Multiply by .
Raise to the power of .
Multiply by .
Move the negative in front of the fraction.
Simplify .
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Multiply by .
Multiply by .
Add and .
Substitute the values of , , and into the vertex form .
Substitute for in the equation .
Move to the right side of the equation by adding to both sides.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Divide by .
Divide each term by to make the right side equal to one.
Simplify each term in the equation in order to set the right side equal to . The standard form of an ellipse or hyperbola requires the right side of the equation be .
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