Final answer:
By applying the translation f(x, y) = (x+2, y+2) to point P(5, 4), we find the new coordinates for P' to be (7, 6), which corresponds to option (a).
Step-by-step explanation:
Given the point P(5, 4) and the translation f(x,y) = (x+2, y+2), we can find the coordinates of P' by simply adding 2 to both the x and the y coordinates of point P. The calculation is as follows:
- P's x-coordinate: 5 + 2 = 7
- P's y-coordinate: 4 + 2 = 6
To find the coordinates of P', we need to apply the translation function f(x,y)=(x+2,y+2) to the coordinates of point P(5, 4).
Using the translation function, we add 2 to the x-coordinate and 2 to the y-coordinate of P:
x' = 5 + 2 = 7
y' = 4 + 2 = 6
Therefore, the coordinates of P' are (7, 6).
Thus, the coordinates of P' after the translation are (7, 6). Therefore, the correct answer is (a) P' (7,6).