You are considering purchasing a robot to help you with household chores such as vacuuming. While you are researching options,
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Answer:
The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing and
is represented as being shifted 6 units to the right as compare to the function
.
Step-by-step explanation:
When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.
For example:
Type of change Effect on y = f(x)
horizontal shift: c units to right
So
Considering the function
The graph is shown below. The first figure is representing .
Now, considering the function
According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.
The graph of is shown below in second figure. It is clear that the graph of
is shifted 6 units to the right as compare to the function
.
The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing and
is represented as being shifted 6 units to the right as compare to the function
.
