Question

How would I solve this problem? Explain the appropriate translations of your graphs. 1. f(x)= 2(x + 10)^2 - 2 to f(x)=2(x+8)^2-7

Answer 1

f(x)= 2(x + 10)^2 - 2
^ ^
horizontal shift vertical shift

to f(x)= 2(x+8)^2 -7
^ ^
horizontal shift vertical shift

Answer 2

y = A ( Bx + C ) + D

C = horizontal shift, C > 0, to the left, C < 0, to the right
D = vertical shift, D > 0, up, D < 0 down