Question

help please @mslano

Answer 1

This question is very similar to the other one, just with the addition of a horizontal movement. We can eliminate some choices just by taking what information came up from that question.

The vertical shift moved the function up by 3, so we should add 3 to the end of the function. Unfortunately, all the choices have this, so that doesn't narrow anything down. The vertical stretch made the graph narrower and kept the graph pointed up, so the choices that make sense for that are either B or D.

Now we have to account for the horizontal shift. Vertical shifts are easy because we just look for the number on the end that matches how much the graph moved. Horizontal shifts are different in two ways: the change is embedded in the function with the x and the values are opposite of what you might expect. So, for example, (x-2)^2 moves the graph of x^2 to the right by 2 and (x+2)^2 moves the graph to the left by 2. Since the graph in this problem moved to the right, we need to have (x-3)^2 in the function.

Putting all this together, the answer choice that works is B.