Find the line of symmetry of the curve y=−5x2+11.
Question
Find the line of symmetry of the curve y=−5x2+11.
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Solution
The line of symmetry for a parabola given by the equation y = ax^2 + bx + c is x = -b/2a.
In the equation y = -5x^2 + 11, a = -5 and b = 0 (since there is no x term).
So, the line of symmetry is x = -0/(2*-5) = 0.
Therefore, the line of symmetry of the curve y = -5x^2 + 11 is x = 0.
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