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.
(3 points)
Shift up 3 units
Shift down 3 units
Reflect over the x-axis
Reflect over the y-axis
Vertically stretch by a factor of 2
Vertically compress by a factor of 2
Shift up 3 units
Reflect over the x-axis
Vertically stretch by a factor of 2