The parent function f (x) = x2 is reflected across the x-axis, vertically stretched by a factor of 4 and translated right 3 units to create g (x).

Answer 1

In order to do this problem you need to do several operations.

1. Take your parent function f(x) = x² and deal with the portion of the problem referring to the shift to the right. (remember shifts to the right are going to involve subtracting from x) Therefore this will change our function to g(x)=(x-3)²
2. From here we should address the flip across the x axis, this will require us to multiply this function by -1 so our function becomes: g(x) = -(x-3)²
3. Once this has been determined then in order to do the vertical stretch by 4 you need to multiply your function by 4, as shown: g(x) = -4(x-3)²

Hope this helps, let me know if its unclear.