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ACT
ACT Math Section

Finding the Vertex of a Quadratic Function

Very Hard Preparing For Higher Math Algebra

Consider the quadratic function given by the equation:

$$ f(x) = 2x^2 - 8x + 6 $$

The function has a vertex, which we will denote as $(h, k)$. To find the x-coordinate of the vertex, we use the formula:

$$ h = -\frac{b}{2a} $$

where $a$ and $b$ are the coefficients from the standard form of the quadratic equation $$ ax^2 + bx + c $$. Calculate the y-coordinate $k$ of the vertex by evaluating the function at $h$. Round your answer to two decimal places before submitting your response in the grid below as a decimal.

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