Question

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer 1

$\underbrace{y=f(x)\xrightarrow{T_{\vec{a}=[0;\ 8]}} y=f(x)+8}_{tranlation\ up\ 8\ units}\\\\y=4x-11\xrightarrow{T_{\vec{a}=[0;\ 8]}} y=4x-11+8=4x-3\\\\Answer:\fbox{g}$

Answer 2

The correct answer is y=4x-3, because:
y=4x-11     u=[0,8]
y=4x-11+u[0,8]
y=4x-11+8
y=4x-3
g(y)=4x-3