Question

Write a rule for the function that shifts every point in the plane 10 units down and 4 units to the right

Answer 1

Substitute y with y+10 and x with x-4.

Explanation:

To shift every point in the plane 10 down you have to substitute y with y+10 and to shift every point in the plane 4 units right you have to substitute x with x-4.

Suppose the origin of function on the plane is (0,0) now we have to make the origin (4,-10).

first (x,y)=(0,0)

When we substitute x and y

(x-4,y+10)=(0,0)

x-4=0

x=4

y+10 = 0

y= -10

Now the origin is (4,-10).

Hence the function is shifted 10 units down and 4 units right.