Question
Which function transforms the graph of f(x)=x^5 by shifting it up 6 units?
a - g(x)=x^5+6
b - g(x)=x^5-6
c - g(x)=(x+6)^5
d - g(x)=(x-6)^5
a - g(x)=x^5+6
b - g(x)=x^5-6
c - g(x)=(x+6)^5
d - g(x)=(x-6)^5
Answers
GPT-4o mini
To shift the graph of a function upwards by a certain number of units, you add that number to the function.
For the function \( f(x) = x^5 \), to shift it up by 6 units, you would add 6 to the function. This gives you:
\[ g(x) = x^5 + 6 \]
Thus, the correct answer is:
**a - g(x) = x^5 + 6**
For the function \( f(x) = x^5 \), to shift it up by 6 units, you would add 6 to the function. This gives you:
\[ g(x) = x^5 + 6 \]
Thus, the correct answer is:
**a - g(x) = x^5 + 6**