[tex]y = (x-3)^{2}[/tex]
1) [tex]f(5) = (5-3)^{2} = 2^{2} = 4\\[/tex]
[tex]f(0) = (0-3)^2 = (-3)^2=9\\[/tex]
[tex]f(3) = (3-3)^2=0^2=0[/tex]
2) если я неправильно понял - поправь, исправлюy = 9
[tex](x-3)^2=9[/tex]
[tex](x-3)= +-\sqrt{9} \\(x-3)= +-3[/tex]
[tex]x_1-3=-3\\x_1 = -3 + 3\\x_1 =0[/tex] или [tex]x_2-3 = 3\\x_2 = 3+3\\x_2 = 6[/tex]
y = 81
[tex](x-3)^2 = 81[/tex]
[tex](x-3) = +-\sqrt{81}\\ (x-3) = +-9[/tex]
[tex]x_1 - 3 = - 9\\x_1 = -9 + 3\\x_1 = -6[/tex] или [tex]x_2 - 3 = 9\\x_2 = 9 + 3\\x_2 = 12[/tex]
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Answers & Comments
[tex]y = (x-3)^{2}[/tex]
1) [tex]f(5) = (5-3)^{2} = 2^{2} = 4\\[/tex]
[tex]f(0) = (0-3)^2 = (-3)^2=9\\[/tex]
[tex]f(3) = (3-3)^2=0^2=0[/tex]
2) если я неправильно понял - поправь, исправлю
y = 9
[tex](x-3)^2=9[/tex]
[tex](x-3)= +-\sqrt{9} \\(x-3)= +-3[/tex]
[tex]x_1-3=-3\\x_1 = -3 + 3\\x_1 =0[/tex] или [tex]x_2-3 = 3\\x_2 = 3+3\\x_2 = 6[/tex]
y = 81
[tex](x-3)^2 = 81[/tex]
[tex](x-3) = +-\sqrt{81}\\ (x-3) = +-9[/tex]
[tex]x_1 - 3 = - 9\\x_1 = -9 + 3\\x_1 = -6[/tex] или [tex]x_2 - 3 = 9\\x_2 = 9 + 3\\x_2 = 12[/tex]