What is the image point of (4,5)(4,5) after a translation left 5 units and down 3 units?

The image of point (-1,2)

Step-by-step explanation:

Step(i):-

Given point ( 4,5)

The Horizontal translation left '5' units then the transformed to

(x ,y ) → (x - 5 ,y)

(4,5)→ (4-5 , 5)

Step(ii):-

Again the vertical translation down '3' units then transformed to the co-ordinate point is  (x, y)→ ( x, y-3)

                       (4-5 , 5)→ ( 4-5 , 5 -3)

                      (-1 , 5) → (-1 , 2)

Final -

The image of point (-1,2)

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)