Answer:
"6 units left and 9 units down"
Step-by-step explanation:
Suppose a function is given in this form:
[tex]y=(x-a)^2+b[/tex]
This is the parent function y = x^2
- translated a units right (left if there was a + before a)
- translated b units up (down if there was a - before b)
Now, to go from [tex]y=(x-5)^2+7[/tex] to [tex]y= (x+1)^2-2[/tex] , we can see that:
- first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
- first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down
Thus, "6 units left and 9 units down" is the transformation(translation).
