Answer:
B
Step-by-step explanation:
The red graph is represented by the function:
[tex]f(x)=x^2[/tex]
And we want the equation of the blue graph.
We can see that the blue graph is simply the red graph shifted 2 units horizontally to the right.
A horizontal transformation is given by:
[tex]f(x-h)[/tex]
Where h is the number of units we shift (to the right).
Since we shifted two units to the right, h = 2.
So, our new function will be:
[tex]g(x)=f(x-2)=(x-2)^2[/tex]
Therefore:
[tex]g(x)=(x-2)^2[/tex]
Our answer is B.
Notes:
A represents a vertical shift of two units downwards.
C (assuming it is x²) represents a vertical shift of two units upwards.
And D (if you let h = -2, then f(x - (-2)) = f(x + 2) = (x + 2)²) is a horizontal shift of two units to the left.
The equation of the blue graph is B. g(x) = (x - 2)².
A graph simply means a diagram that represents the variation of a variable when compared with other variables.
In this case, the red graph is illustrated by f(x) = x². The blue graph in this case is simply the red graph shifted two units horizontally.
Therefore, the equation of the blue graph will be:
= (x - 2)².
In conclusion, g(x) = (x - 2)².
Learn more about graph on:
https://brainly.com/question/21170522