Pre-Algebra Examples

Write as an Equation f(x)=-0.5(x+1)^2+2
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
Multiply by .
Step 2.1.3.1.3
Multiply by .
Step 2.1.3.1.4
Multiply by .
Step 2.1.3.2
Add and .
Step 2.1.4
Apply the distributive property.
Step 2.1.5
Simplify.
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Step 2.1.5.1
Multiply by .
Step 2.1.5.2
Multiply by .
Step 2.1.6
Rewrite as .
Step 2.2
Add and .