Question

The function f(x)=x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

a) g(x)=(x−7)2−3
b) g(x)=(x+7)2−3
c) g(x)=(x−3)2−7
d) g(x)=(x−3)2+7

Answer 1

The function f(x)=x^2 is translated 7 units to the left and 3 units down to form the function g(x). The correct representation of g(x) is a) g(x) = (x-7)^2 - 3.

Step-by-step explanation:

To translate the function f(x)=x^2 7 units to the left, we subtract 7 from x: f(x-7) = (x-7)^2. To translate it 3 units down, we subtract 3 from f(x-7): g(x) = (x-7)^2 - 3.

The correct answer is a) g(x) = (x-7)^2 - 3.