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.

g(x) = 2^×+h + k​

Answer 1

h = 7, k = -1

Explanation:

After 7 units left,

The function f(x) maps onto f(x+7)

g(x) = f(x + 7)

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

g(x) = 2(x + h) + k

h = 7, k = -1

Answer 2

Answer:g(x) = 2^×+7 + k-1

h = 7, k = -1 is the equation of the function g

Explanation: