Question

The graph of f(x) = 5x2 is shifted 6 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)?

a g(x) = 5x2 + 6
b g(x) = 5(x − 6)2
c g(x) = 5(x + 6)2
d g(x) = 5x2 − 6

Answer 1

To shift the graph of the function f(x) = 5x^2 6 units to the left, we need to replace x with (x + 6) in the equation.

Therefore, the equation that best describes g(x) is:

g(x) = 5(x + 6)^2

So, the correct option is c) g(x) = 5(x + 6)^2.