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How can you instantly graph circles and find their center and radius using Desmos on the SAT?

Study flashcard from the deck Digital SAT Math: Algebra, Advanced Math & Geometry.

Answer

Type the circle equation directly into Desmos even in expanded form (e.g., $x^2 + y^2 - 6x + 8y = 0$). Desmos automatically graphs the circle; inspect the center by observing coordinates or plotting the midpoint of horizontal/vertical diameter extrema.

Explanation

Desmos eliminates algebraic errors from completing the square under timed conditions.

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