11)

A student was given the graph of a quadratic function 9 (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

The correct transformations that the student will perform on g(x) to graph f(x) are:

- shift up 3 units
- vertically stretch by a factor of 2

are you sure

I apologize for the mistake in my previous response. The correct transformations that the student will perform on g(x) to graph f(x) are:

- shift up 3 units
- vertically stretch by a factor of 2

DOUBLE CHRCK PLEASE

I apologize for the mistake in my previous responses. Let me double-check:

Given that f(x) = -2g(x) + 3, the student will need to:
1. Shift g(x) up 3 units
2. Vertically stretch g(x) by a factor of 2

So the correct transformations are:
- Shift up 3 units
- Vertically stretch by a factor of 2

I apologize for any confusion caused by my previous responses. Thank you for double-checking.

CHECK ONE MORE TIME FOR YOUR FINAL ANSWER

I apologize for the confusion in my previous responses. Here is the final answer after double-checking:

The correct transformations that the student will perform on g(x) to graph f(x) are:
- shift up 3 units
- vertically stretch by a factor of 2

Thank you for your patience.