Digital SAT Math Practice Question #367
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.
This is a brilliant test of Vieta's Formulas. The SAT sets a massive time-trap here: you *could* find the roots using the quadratic formula, but because the roots are irrational (\( \frac{5 \pm \sqrt{57}}{4} \)), plugging them into the frac...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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