Precalculus Examples

, ,
Step 1
Use the standard form of a quadratic equation as the starting point for finding the equation through the three points.
Step 2
Create a system of equations by substituting the and values of each point into the standard formula of a quadratic equation to create the three equation system.
Step 3
Solve the system of equations to find the values of , , and .
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Solve for in .
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Rewrite the equation as .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from both sides of the equation.
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Raise to the power of .
Apply the distributive property.
Multiply by .
Multiply by .
Move to the left of .
Simplify by adding terms.
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Add and .
Add and .
Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Raise to the power of .
Apply the distributive property.
Multiply by .
Multiply by .
Move to the left of .
Simplify by adding terms.
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Add and .
Add and .
Solve for in .
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Rewrite the equation as .
Add to both sides of the equation.
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Simplify each term.
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Dividing two negative values results in a positive value.
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.
Move the negative in front of the fraction.
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Apply the distributive property.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Subtract from .
Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Simplify each term.
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Apply the distributive property.
Multiply .
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Multiply by .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
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Combine and .
Combine the numerators over the common denominator.
Simplify each term.
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Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply by .
Subtract from .
Multiply by .
Solve for in .
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Rewrite the equation as .
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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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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Multiply by .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Multiply by .
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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Multiply by .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
Move the negative in front of the fraction.
List all of the solutions.
Step 4
Substitute the actual values of ,, and into the formula for a quadratic equation to find the resulting equation.
Step 5
Enter YOUR Problem
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