Question 362346
The vertex is ({{{3}}},{{{-1}}}).
When {{{x=5}}}, {{{y=2(5-3)^2-1=8-1=7}}}
When {{{x=1}}}, {{{y=2(1-3)^2-1=8-1=7}}}
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{{{drawing(300,300,-8,8,-2,14,blue(line(3,-20,3,20)),grid(1),circle(3,-1,0.3),circle(5,7,0.3),circle(1,7,0.3),graph(300,300,-8,8,-2,14,2(x-3)^2-1))}}}