Question

1. IF the function f(x) = 2(x – 3)2 – 4 is shifted vertically three units up and horizontally

2 units to the right to create the function g(x) fill in the blanks to represent this
transformed function.
g(x)= _(x-__)^2 ____

Answer 1

I believe it is 2(x-5)²−1

Explanation:

The parentheses represent the horizontal shift. (X-__) is a shift to the right. (X+__) is a shift to the left. The last number of the function is the vertical shift. A negative number is shifting down and a post number is shifting up.

So, if the graph shifts up three units, then you add 3 + -4 to get -1. And if the graph shifts right 2 units, then you subtract 2 from -3 to get -5.