Question #4d6f1

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Question #4d6f1

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Answer 1 · 2016-10-31T00:21:26

$x = - 5$ $x=-5$

Explanation:

Find the equation of the line of symmetry for the parabola

$y = x^{2} + 10 x + 25$ $y=x^2+10x+25$

The line of symmetry passes through the vertex of the parabola. The $x$ $x$ coordinate of the vertex is found with the formula $x = - \frac{b}{2 a}$ $x=-b/(2a)$ for the equation of the form $y = a x^{2} + b x + c$ $y=ax^2+bx+c$ .

In this example, $a = 1$ $a=1$ , $b = 10$ $b=10$ and $c = 25$ $c=25$ /

$x = - \frac{10}{2 \cdot 1} = - 5$ $x=-10/(2*1)=-5$

Because the line of symmetry passes through the vertex, the equation of the line is $x = - 5$ $x=-5$ .

Check out the graph. The parabola is shown in red and the line of symmetry is shown in blue.

![desmos.com]( useruploads.socratic.org )

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