Question

helppp pleaseee

Answer 1

There's two changes made to the original function G to get the function F: it's been moved up and stretched vertically.

The movement is easy to see as moving up 3. A vertical movement like that means the function has a 3 added to the end of it, so x^2 becomes x^2 + 3, which means either A or B is our answer.

Vertical stretches have a number multiplied in front of the function. It's hard to see what number it should be, but there are only two options available, so we just have to check between 2x^2 + 3 or .2x^2 + 3. Vertical stretches make the graph narrower if the number out front is greater than 1, and make the graph wider if the number out front is less than 1. Since our graph is narrower than the original, we have to pick the option with the number greater than 1. Thus, A is the correct answer.