Question

Compare the graphs of f(x)=2 (x+1) cubed and g(x)=2 (x+1) cubed. What is the y-intercept of both graphs? (1 point)

Answer 1

The two functions you've written are \( f(x) = 2(x + 1)^3 \) and \( g(x) = 2(x + 1)^3 \). Since both functions are identical, their graphs will be the same.

To find the y-intercept of the functions, we need to evaluate each function at \( x = 0 \):

1. For \( f(x) \):
\[
f(0) = 2(0 + 1)^3 = 2(1)^3 = 2 \times 1 = 2
\]

2. For \( g(x) \):
\[
g(0) = 2(0 + 1)^3 = 2(1)^3 = 2 \times 1 = 2
\]

Thus, the y-intercept of both graphs is \( 2 \).

To summarize:
- Both graphs are the same.
- The y-intercept of both graphs is \( 2 \).