Find the line of symmetry of the curve y=12x2−5.
Question
Find the line of symmetry of the curve y=12x2−5.
Solution
The line of symmetry for a parabolic curve given by the equation y = ax^2 + bx + c is x = -b/2a.
In the equation y = 12x^2 - 5, a = 12 and b = 0 (since there is no x term).
So, the line of symmetry is x = -0/(2*12) = 0.
Therefore, the line of symmetry of the curve y = 12x^2 - 5 is x = 0.
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