Algebra Examples

Replace with to find the properties of the parabola.
Complete the square on the right side of the equation.
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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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Reduce the expression by cancelling the common factors.
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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.
Divide by .
Multiply by .
Find the value of using the formula .
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Simplify each term.
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Reduce the expression by cancelling the common factors.
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Rewrite as .
Apply the product rule to .
Raise to the power of .
Multiply by .
Multiply by .
Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Multiply by .
Subtract from .
Substitute the values of , , and into the vertex form .
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