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PSAT/NMSQT
PSAT Math Test - No Calculator Section

Finding the x-coordinate of the Vertex of a Quadratic Function

Medium Passport To Advanced Math Quadratic Functions

Consider the quadratic function given by the equation:

$$f(x) = 2x^2 - 4x + 1$$

Determine the x-coordinate of the vertex of the parabola represented by this function. The vertex of a parabola described by the standard form of a quadratic equation $$f(x) = ax^2 + bx + c$$ can be found using the formula:

$$x = -\f\frac{b}{2a}$$

Provide your final answer as a decimal.

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