Question 831216
{{{ y = x^2 }}} has the y-axis for an axis of symmetry
because replacing {{{x}}} with {{{-x}}} will give me the same {{{y}}}
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{{{ y = (x-2)^2 }}} is the parabola shifted to the right 2 units
{{{ y = -(x-2)^2 }}} is the parabola turned upside down
Here's a plot of all 3 parabolas:
{{{ graph( 400, 400, -6, 6, -10, 10, x^2, (x-2)^2, -(x-2)^2 ) }}}