QuestionApril 16, 2026

Tell whether y=2x^2-10x+13 has a minimum value or a maximum value. square value Find the value. The value is square

Tell whether y=2x^2-10x+13 has a minimum value or a maximum value. square value Find the value. The value is square
Tell whether y=2x^2-10x+13 has a minimum value or a maximum value. square value Find the value. The value is square

Solution
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Answer

Minimum value, 0.5 Explanation 1. Identify parabola orientation The coefficient of x^2 is a=2>0, so the parabola opens upward → has a **minimum**. 2. Find vertex x-coordinate Use x_v = \frac{-b}{2a} = \frac{-(-10)}{2(2)} = \frac{10}{4} = 2.5. 3. Find vertex y-coordinate y_v = 2(2.5)^2 - 10(2.5) + 13 = 2(6.25) - 25 + 13 = 12.5 - 25 + 13 = 0.5.

Explanation

1. Identify parabola orientation <br /> The coefficient of $x^2$ is $a=2>0$, so the parabola opens upward → has a **minimum**.<br /><br />2. Find vertex x-coordinate <br /> Use $x_v = \frac{-b}{2a} = \frac{-(-10)}{2(2)} = \frac{10}{4} = 2.5$.<br /><br />3. Find vertex y-coordinate <br /> $y_v = 2(2.5)^2 - 10(2.5) + 13 = 2(6.25) - 25 + 13 = 12.5 - 25 + 13 = 0.5$.
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