Using translation concepts, the equation for the translated graph is given by:
g(x) = |x + 2| + 1.
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis, or rotations of a degree measure around the origin.
From the graph, we have that the parent function was:
- Shifted left 2 units, hence x -> x + 2.
- Shifted up 1 unit, hence y -> y + 1.
Hence, considering the parent function f(x) = |x|, the equation for the translated graph is given by:
g(x) = |x + 2| + 1.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
