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
![f(x) = x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2)
The graph is shown below. The first figure is representing
.
Now, considering the function
![\:f\left(x\right)=\left(x-6\right)^2](https://tex.z-dn.net/?f=%5C%3Af%5Cleft%28x%5Cright%29%3D%5Cleft%28x-6%5Cright%29%5E2)
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
.