Question

The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g? Replace the values of h and k in the equation.

Answer 1

Answer:

g(x) = 2x + 13

Step-by-step explanation:

To shift a function f(x) to the left, we add the unit h inside the function argument.

That is g(x) = f(x + h)

To shift a function f(x) to the right, we subtract the unit h inside the function argument.

That is g(x) = f(x - h)

Now, to shift f(x) = 2x - 1 to the left, we add the unit 7 inside the function f(x + 7) to have

g(x) = 2(x + 7) - 1

= 2x + 14 - 1

= 2x + 13