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find the minimum value of the parabola \\(y = x^2 + 10\\). simplify you…

Question

find the minimum value of the parabola \\(y = x^2 + 10\\).

simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Identify the vertex form of the parabola

$$ y = a(x - h)^2 + k $$
$$ y = 1(x - 0)^2 + 10 $$

Determine the direction of opening

$$ a = 1 > 0 $$

Find the minimum value

$$ y_{\min} = k = 10 $$

Answer:

Find the minimum value of the parabola \(y = x^2 + 10\).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

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