Question

What is the line of symmetry for the parabola whose equation is y=x^2-12x+7

Answer 1

x = 6

Explanation:

The line of symmetry for the parabola written in the form y=ax²+bx+c is given by the equation x=-b/(2a).

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Comparing your equation to the above form, we see ...

• a=1
• b=-12
• c=7

Then the line of symmetry is ...

x = -b/(2a) = -(-12)/(2(1)) = 6

The line of symmetry is x=6.