Question

How does the graph of f(x)=(x+2)^4+6 compare to the parent function g(x)=x^4?

a) The graph of f(x) is a horizontal compression of the graph of g(x).
b) The graph of f(x) is a vertical compression of the graph of g(x).
c) The graph of f(x) is a horizontal shift to the left of the graph of g(x).
d) The graph of f(x) is a vertical shift upward of the graph of g(x).

Answer 1

d) The graph of f(x)=(x+2)⁴+6 is a vertical shift upward of the graph of g(x)=x⁴.

Step-by-step explanation:

The graph of f(x)=(x+2)⁴+6 is a vertical shift upward of the graph of g(x)=x⁴.

This is because the graph of f(x) is the graph of g(x) shifted vertically upward by 6 units.

The graph of g(x) has its lowest point at the origin (0,0), while the graph of f(x) has its lowest point at (0,6).