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What is the equation of the line of symmetry of the parabola $y = f(x)$.

 

f(x) = 2x^2 - 13x + 20 - 5x^2 + 19x + 7.

 Feb 18, 2025
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\(What\ is\ the\ equation\ of\ the\ line\ of\ symmetry\ of\ the\ parabola\ y = f(x)?\)

 

\(f(x) = 2x^2 - 13x + 20 - 5x^2 + 19x + 7\\ f(x)= -3x^2+6x+27\\ x^2-2x-9=0\\ x_{1,2}=1\pm\sqrt{1^2+9}\\ x\in \{(1-\sqrt{10}),(1+\sqrt{10})\}\\ \dfrac{1-\sqrt{10}+1+\sqrt{10}}{2}=1\)

 

\({\color{blue}The\ equation\ of\ the\ line\ of\ symmetry}\ of\ the\ parabola\ y=f(x)\ \color{blue}is\ x=1 \)

 

laugh !

.
 Feb 22, 2025
edited by asinus  Feb 22, 2025

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