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PSAT/NMSQT
PSAT Math Test - Calculator Section

Finding Minimum of Quadratic Function

Medium Passport To Advanced Math Non-linear Expressions

Consider the function $f(x) = 2x^2 - 8x + 5$. Determine the value of $x$ at which the function achieves its minimum value. Then, calculate this minimum value. Express your answer as a decimal in the grid-in format.

Recall that for a quadratic function of the form $f(x) = ax^2 + bx + c$, the vertex (which provides the minimum or maximum value) occurs at $x = -\f\frac{b}{2a}$.

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