Pre-Algebra Examples

Write as an Equation f(x)=-3/4*(x-1)^2-5
Step 1
Rewrite the function as an equation.
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Rewrite as .
Step 2.1.2
Expand using the FOIL Method.
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Step 2.1.2.1
Apply the distributive property.
Step 2.1.2.2
Apply the distributive property.
Step 2.1.2.3
Apply the distributive property.
Step 2.1.3
Simplify and combine like terms.
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Step 2.1.3.1
Simplify each term.
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Step 2.1.3.1.1
Multiply by .
Step 2.1.3.1.2
Move to the left of .
Step 2.1.3.1.3
Rewrite as .
Step 2.1.3.1.4
Rewrite as .
Step 2.1.3.1.5
Multiply by .
Step 2.1.3.2
Subtract from .
Step 2.1.4
Apply the distributive property.
Step 2.1.5
Simplify.
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Step 2.1.5.1
Combine and .
Step 2.1.5.2
Cancel the common factor of .
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Step 2.1.5.2.1
Move the leading negative in into the numerator.
Step 2.1.5.2.2
Factor out of .
Step 2.1.5.2.3
Factor out of .
Step 2.1.5.2.4
Cancel the common factor.
Step 2.1.5.2.5
Rewrite the expression.
Step 2.1.5.3
Combine and .
Step 2.1.5.4
Multiply by .
Step 2.1.6
Simplify each term.
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Step 2.1.6.1
Move to the left of .
Step 2.1.6.2
Move the negative in front of the fraction.
Step 2.1.6.3
Multiply .
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Step 2.1.6.3.1
Multiply by .
Step 2.1.6.3.2
Multiply by .
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Combine and .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Multiply by .
Step 2.5.2
Subtract from .
Step 2.6
Move the negative in front of the fraction.