Answer:
a) G(x) = (x+4)^2 + 1
Explanation:
When you shift a graph either to the left or to the right, you need to add or subtract a number from inside the x term. In order to do this, you need to add parentheses around the x. Since the graph was shifted to the left four units, you need to add four units to the x term. This is where you get the (x+4) from.
When you shift a graph up, you need to add the number to the end of the equation. Since the graph was moved up 1 unit, you need to add 1 to the end of the equation. This is where the +1 comes from.
Hope this helps!