Answer:
(B) compress the graph closer to the x-axis
(E) translate the graph to the left
(F) translate the graph up
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
This graph has been multiplied by 1/4 which is less than 1. It will be compressed.
This graph has x added to by 3. It will shift left 3 units.
This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.
