Question 1084313


{{{f(x)=(x+3)^2-2}}}

 {{{3}}} needs to be subtracted on the inside;that will a horizontal shift RIGHT {{{3}}} unit,

{{{f(x)=(x-3)^2}}} 
and  {{{2}}} need to be added on the outside; this is a vertical shift UP {{{2}}} units
{{{f(x)=(x+3)^2+2}}}

This is a transformation on the basic function {{{f(x) = x^2}}}. If {{{f(x) = x^2}}} has the negative is on the outside of the function , like this  {{{f(x) =- x^2}}}, it means there is a reflection about the x-axis.

so, you will have:

{{{f(x)= -(x-3)^2+2}}}


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