Question

Would the graph of y=-3/2(x-3)^2+1 compared to the graph of y=x^2 be that the graph gets wider, shifts to the right 3 units and goes down 1 unit?

Answer 1

yes, very close, yes \(\large \begin{array}{rrlllllll}
y=&-&\cfrac{3}{2}(x&-3)^2&+1\\
&\uparrow &\uparrow&\uparrow &\uparrow\\
&\textit{flips upside down}&\textit{wider}&\textit{h-shift to right}&\textit{v-shift up}
\end{array}\)

Answer 2

thank you :)