Question 1000187
 {{{h(x) =  sqrt( x ) }}}

{{{k(x) =  sqrt( x-4 ) }}}: the graph of {{{h(x)}}} is translated the right {{{4}}} units

{{{k(x) =  sqrt( x-4 )-3 }}}: the graph of {{{h(x)}}} is translated {{{3}}} units down

{{{k(x) =  sqrt( 2(x-4) )-3 }}}: the graph of {{{h(x)}}} is compressed vertically by a factor of {{{2}}}, and 

{{{k(x) =  sqrt( 2(-x-4) )-3 }}}: the graph of {{{h(x)}}} is reflected in the y-axis,

{{{ graph( 600, 600, -10, 10, -10, 10, sqrt( x ), sqrt( 2(-x-4) )-3) }}}