Question

The function h(x) is a transformation of the square root parent function,f(x) = x. What function is h(x)?AY5A)h(xA. h(x) = Væ - 4B. h(x) = x +4O c. h(x) = Væ+4O D. h(x) = v= - 4

Answer 1

from the graph

there is a shift of four units to the right

The graph of

$Now,inf(x)\text{ = }\sqrt[]{x}\text{ replace x with x + 4 to obtain h(x). }$$\text{This shift the graph of f(x) =}\sqrt[]{x}\text{ four unit right},\text{ as diagram show above}$

Therefore,

$\text{founction h(x) = }\sqrt[]{x\text{ + 4}}$

Option B is the correct answer