Question 1191589


Let the graph of {{{g}}} be a vertical stretch by a factor of {{{3}}}, followed by a translation of{{{ 5}}} units up from the graph of {{{f(x)=x^2}}} 


 g(x) = a(x -h)^2 + k

horizontal stretch (away from {{{y}}}-axis) when {{{0 < a < 1}}}
horizontal shrink (toward {{{y}}}-axis) when {{{a > 1}}}

vertical stretch (away from {{{x}}}-axis) when {{{a > 1}}}
vertical shrink (toward {{{x}}}-axis) when{{{ 0 < a < 1}}}
shifts left when {{{h < 0}}}
shifts right when{{{ h > 0}}}
shifts down when {{{k < 0}}}
shifts up when {{{k > 0}}}


so, you are given: {{{ a=3}}} and {{{k=5}}}

{{{g(x) =3x^2+5}}}



{{{ graph( 600, 600, -10, 10, -10, 10, 3x^2+5, x^2) }}}