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Example Question #61 : Quadratic Functions
Determine the center and radius, respectively, given the equation:
Possible Answers:
Correct answer:
Explanation:
In order to solve for the radius, we will need to complete the square twice.
Group the x and y-variables in parentheses. Starting from the original equation:
Add two on both sides.
Divide by the second term coefficient of each binomial by 2, and add the squared quantity on both sides of the equation.
The equation becomes:
Factorize both polynomials in parentheses and simplify the right side.
The center is:
The radius is:
The answer is:
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