Digital SAT Math Practice Question #30
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Identify the quadratic form: consider converting to vertex form \( y = a(x-h)^2 + k \) or using \( x = - rac{b}{2a} \) to find the line of symmetry.
Desmos Tactical Shortcut: Plot the left-hand side and right-hand side as separate equations (e.g. \( y_1 = f(x) \) and \( y_2 = g(x) \)). Click the intersection points directly to read exact coordinates.
To find the radius, complete the square for x and y. Group the terms: (x^2 - 10x) + (y^2 + 8y) = -k. Complete the squares by adding (-10/2)^2 = 25 and (8/2)^2 = 16 to both sides: (x^2 - 10x + 25) + (y^2 + 8y + 16) = -k + 25 + 16. This facto...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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