SAT Math Practice Question #2269 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2269

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

How many intersection points do the graphs of $y = x^2 - 4x + 3$ and $y = 2x - 6$ have?
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Masterclass Solution & Distractor Trap Analysis

Set equal: $x^2 - 4x + 3 = 2x - 6 \implies x^2 - 6x + 9 = 0 \implies (x - 3)^2 = 0$. Exactly one repeated solution ($x = 3$), so there is 1 intersection point (tangent line)....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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