Question
The graph of the function, f(x)=x^2−8, will be shifted to the right 4 units and shifted up 14 units. What is the equation of the translated function?
Answers
GPT 3.5
The translated function will be f(x) = (x-4)^2 - 8 + 14.
Expanding the square term, we get:
f(x) = x^2 -8x + 16 - 8 + 14
f(x) = x^2 - 8x + 2
Therefore, the equation of the translated function is f(x) = x^2 - 8x + 2.
Expanding the square term, we get:
f(x) = x^2 -8x + 16 - 8 + 14
f(x) = x^2 - 8x + 2
Therefore, the equation of the translated function is f(x) = x^2 - 8x + 2.