Question

What value represents the vertical translation from the graph of the parent function f(x)=x2 to the graph of the function g(x)=(x+5)2+3?

−5
−3
3
5

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

Using translation concepts, it is found that the graph of the function $g(x) = (x + 5)^2 + 3$ is a translation of the parent function $f(x) = x^2$ of 5 units right and 3 units up, hence the value that represents the vertical translation is of 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

$f(x) = x^2$

The translated function is given by:

$g(x) = (x + 5)^2 + 3$

Which is a shift of 5 units right, as x -> x + 5, and 3 units up, as 3 was added to the function, hence the value that represents the vertical translation is of 3.

More can be learned about translation concepts at https://brainly.com/question/4521517