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?

Graph of parent function is shifted to right by 4 units.

Step-by-step explanation:  

We have been given a parent function and another function . We are asked to determine the horizontal translation from the graph of the parent function to the graph of the function g(x).

Let us recall translation rules.  

Horizontal translation:  

Vertical translation:

Upon comparing our functions, we can see that parent function is shifted to right by 4 units and upwards by 2 units to get the the function g(x).

Therefore, the value horizontal translation is , which indicates the graph is shifted to right by 4 units.

v: l•w•h÷2.

v: 20•6•8 ÷2

v: 960÷2

v: 480

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1