Question 1141353
{{{ f(x) = x^2 }}}
x-intercepts occur where {{{ f(x) = 0 }}}
{{{ 0 = 0^2 }}}, so ( 0,0 ) is the only x-intercept
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{{{ g(x) = x^2 - 7 }}}
{{{ g(x) = f(x) - 7 }}}
x-intercepts occur where {{{ g(x) = 0 }}} and
this is when {{{ f(x) = 7 }}} or
{{{ x^2 = 7 }}}
{{{ x = sqrt(7) }}} and
{{{ x = -sqrt(7) }}}