Find the line of symmetry of the curve y=5x2+1.
Question
Find the line of symmetry of the curve y=5x2+1.
Solution
The line of symmetry for a parabolic curve given by the equation y = ax^2 + bx + c is x = -b/2a.
In the given equation y = 5x^2 + 1, the coefficient a is 5 and there is no x term, so b = 0.
Substituting these values into the formula, we get x = -0/(2*5) = 0.
So, the line of symmetry of the curve y = 5x^2 + 1 is x = 0.
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