Question

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The function f(x) = 2^x - 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 hand kin the equation.

Answer 1

h=7 and k=-1

Explanation:

Remember that the values of h and k represent horizontal and vertical shifts respectively. Therefore, because the transformation is a horizontal shift of 7 units to the left, then h=7 and k=-1.

Review the graph to observe the transformation

Answer 2

h = 7, k = -1

Explanation:

g(x) = f(x + 7)

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

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

h = 7, k = -1