Question

the point (4,5) is translated two units left and eight units down. what is the y-coordinate of the image?

Answer 1

`(2,-3)`

Explanation:

Point of the form
`\left ( x,y \right )` means it is at a distance of x units from x - axis and y units from y - axis .If this point is translated a units left and b units down then new point becomes
`\left ( x-a,y-b \right )`

If this point is translated a units left and b units up then point becomes
`\left ( x-a,y+b \right )`

If this point is translated a units right and b units down then point becomes
`(x+a,y-b)`

If this point is translated a units right and b units up then point becomes
`(x+a,y+b)`

Given Point:
`\left ( 4,5 \right )`

If this point is translated 2 units left and 8 units down then this point becomes
`(4-2,5-8) = (2,-3)`

Answer 2

the new coords are (2,-3) the new y coord is -3