What is the axis of symmetry for the graph $y = x^{2} - 6 x + 2$ $y=x^2-6x+2$ ?

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What is the axis of symmetry for the graph $y = x^{2} - 6 x + 2$ $y=x^2-6x+2$ ?

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Answer 1 · 2018-04-10T16:30:37

$x = 3$ $x=3$

Explanation:

The equation is written in the form $a x^{2} + b x + c$ $ax^2+bx+c$ . As you can see, a=1, b=-6 and c=2. The axis of symmetry is worked out by $x = \frac{- b}{2 a}$ $x=(-b)/(2a)$ .

$\frac{- (- 6)}{2 (1)}$ $(-(-6))/(2(1)$ = $\frac{6}{2} = 3$ $6/2 = 3$

Substituted this value of x back into the equation to find the y coordinate.

$y = {(3)}^{2} - 6 (3) + 2$ $y = (3)^2 -6(3) + 2$
$y = 9 - 18 + 2$ $y = 9 -18+2$
$y = - 7$ $y = -7$

So the vertex of the line is at (3,-7)

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What is the axis of symmetry for the graph $y = x^{2} - 6 x + 2$ $y=x^2-6x+2$ ?

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What is the axis of symmetry for the graph y=x2−6x+2y=x^2-6x+2?

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What is the axis of symmetry for the graph $y = x^{2} - 6 x + 2$ $y=x^2-6x+2$ ?