Answered

Select the graph of the function and its parent function.
f(x)=x-6
O
-6-4-2
87"F
Sunny
2
-2
-6-4-2
-6
4
2
-2
-4
10
y-1
2 4 6
2 4 6
Q
Describe the transformation.
-6-4-2
2
02
46-4-2
-2
yux
2
yux
2 4
6

Select the graph of the function and its parent function fxx6 O 642 87F Sunny 2 2 642 6 4 2 2 4 10 y1 2 4 6 2 4 6 Q Describe the transformation 642 2 02 4642 2 class=


Answer :

tobinsophia

Answer:

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Step-by-step explanation:

Listen in class and you’d know!

Using translation concepts, it is found that the top right graph graphs the parent function and the translated function correctly.

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 definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, we are given two functions:

  • f(x) = x.
  • g(x) = x - 6.

g(x) is a shift down of 6 units of f(x), which is a line with an inclination of 1, that is, an increasing line, hence g(x) is also an increasing line. This means that the top right graph graphs the parent function and the translated function correctly.

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

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