Question 1048834

{{{y=x^2+k}}} is a {{{vertical}}}{{{ shift}}}, up if {{{k>0}}} and {{{down}}} if {{{k<0}}}

{{{ y=(x-h)^2}}} is a {{{horizontal}}} shift, left if {{{h<0}}} and right if{{{ h>0}}}


 an equation that defines the graph of {{{y = x^2}}} after it is shifted vertically {{{2 }}} units up is: {{{y = x^2+2}}}

 and  after it is shifted horizontally {{{3}}} units left.:
{{{y = (x-(-3))^2+2}}}

{{{y = (x+3)^2+2}}}


{{{ graph( 600, 600, -10, 10, -10, 10, x^2, (x+3)^2+2) }}}