Question

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function

g(x) = (x – 4)2 + 2?

Answer 1

The negative 4 in the parenthesis caused the graph to move four units to the right. 

Answer 2

horizontal translation right by 4 units

Explanation:

the parent function
`f(x) = x^2`

f(x)->f(x)+a, vertical translation up by 'a' units

f(x)->f(x)-a, vertical translation down by 'a' units

f(x)->f(x+a), horizontal translation left by 'a' units

f(x)->f(x-a), horizontal translation right by 'a' units

`g(x) = (x - 4)^2 + 2`

4 is subtracted from x.

So its horizontal translation right by 4 units