Answer
see graph
Work Step by Step
The black graph is the graph of the standard function, $y=
x^2
$.
The red graph is the graph of the given function, $y=
3-2(x-1)^2
.$ It is the result of shifting the graph of the standard function by $1$ unit to the right, horizontally shrinking by a factor of $\dfrac{1}{2}$ units, reflecting about the $y-$axis, and shifting by $3$ units up.
