Question

What is the equation of the translated function, g(x), if M(x) = (x - 4)^2 + 6?

A. g(x)=(x+6)²−4
B. g(x)=(x−6)²−4
C. g(x)=(x+4)²+6
D. g(x)−(x−4)²+6

Answer 1

The equation of the translated function, g(x), if M(x) = (x - 4)^2 + 6, is (x + 4)^2 + 6.

Step-by-step explanation:

The equation of the translated function, g(x), if M(x) = (x - 4)^2 + 6, can be found by translating the parent function. The parent function is f(x) = x^2.

To translate f(x) to g(x), we need to shift it 4 units to the right and 6 units up.

Therefore, the equation of g(x) is (x + 4)^2 + 6. So the correct answer is C. g(x) = (x + 4)^2 + 6.