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

Question

Kay [80]

3 years ago

8

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?

Mathematics

2 answers:

DaniilM [7] · Answer 1 · 2022-07-09T09:15:48+03:00

DaniilM [7]3 years ago

6 0

The graph of the function g(x) = (x - 4)^2 + 2 is 4 units to the right of the function f(x) = x^2.
Hence, the horizontal translation of the function f(x) = x^2 to the function g(x) = (x - 4)^2 + 2 is +4.

kari74 [83] · Answer 2 · 2022-07-09T07:21:53+03:00

In the attached diagram you can see graphs of bpth functions f(x) {red curve} and g(x) {blue curve}. This graphs are the same, but the graph of the function g(x) is obtained from the graph of the function f(x) by translation 4 units right and 2 units up. Translation right is horizontal translation and translation up is vertical translation. Therefore, the value of the horizontal translation is 4.

Answer: 4.