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