ACT Math Practice Question #1235 (Medium (32)) | Test Citadel
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ACT Math Difficulty: Medium (32)

Digital ACT Math Practice Question #1235

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What is the minimum value of the quadratic function $g(x) = 3x^2 - 12x + 19$?
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Vertex $x = -(-12)/6 = 2$. Plug into $g(2) = 12 - 24 + 19 = 7$.

Masterclass Solution & Distractor Trap Analysis

Since the leading coefficient $a = 3 > 0$, the parabola opens upward, and the minimum occurs at the vertex. The $x$-coordinate of the vertex is: $$x = -\frac{b}{2a} = -\frac{-12}{2(3)} = \frac{12}{6} = 2.$$ The minimum value is the $y$-valu...

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

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