Problem

Find the vertex of the function \( f(x) = 2x^2 - 5x + 3 \).

Answer

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Answer

Step 3: Substitute \(h\) into the function to find the y-coordinate of the vertex. \(k = f(h) = 2*0.625^2 - 5*0.625 + 3 = 1.125\).

Steps

Step 1 ：Step 1: Identify the coefficients in the function. Here, \(a = 2\), \(b = -5\), and \(c = 3\).

Step 2 ：Step 2: Use the formula for the x-coordinate of the vertex, \(h = -\frac{b}{2a}\). Plugging in our values, we get \(h = -\frac{-5}{2*2} = 0.625\).

Step 3 ：Step 3: Substitute \(h\) into the function to find the y-coordinate of the vertex. \(k = f(h) = 2*0.625^2 - 5*0.625 + 3 = 1.125\).

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