Question 1128159
{{{ f(x) = x - 5 }}}
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Reflect about {{{ y = x }}}
{{{ x = f(x) - 5 }}}
{{{ f(x) = x + 5 }}}
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Shift 3 units left
{{{ f(x) = x + 5 + 3 }}}
{{{ f(x) = x + 8 }}}
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Here's the 3 plots:
 {{{ graph( 400, 400, -10, 10, -10, 10, x - 5, x + 5, x + 8 ) }}}