A student was given the graph of a quadratic function g(x) and told that f(x)=−2g(x)+3 . Identify the transformations the student will perform on g(x) to graph f(x) . Select all that apply.

- Reflect the graph of g(x) across the x-axis

- Stretch the graph of g(x) vertically by a factor of 2
- Shift the graph of g(x) 3 units upward