Question 1098461
1st the original graph and the graph
translated 2 units right and 5 units down
{{{ y = 2^x }}}
{{{ y + 5 = 2^( x - 2 ) }}}
{{{ graph( 400,400, -10, 10, -10, 10, 2^x, 2^( x-2 ) - 5  ) }}}
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Reflected about the y-axis:
{{{ y = 2^(-x-2) - 5 }}}
{{{ graph( 400,400, -10, 10, -10, 10, 2^( -x-2 ) - 5  ) }}}
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vertical stretch by factor of {{{ 5 }}}:
{{{ y = 5*2^( -x-2 ) - 5 }}}
{{{ graph( 400, 400, -10, 10, -10, 10, 5*2^( -x-2 ) - 5  ) }}}
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Definitely feel free to get another opinion on this