Question

You are given the exponential function g(x) = 3 x . Which option below gives the formula for a new function h created by stretching g by a factor of 3 along the y-axis?

h(x) = 3x+1

h(x) = 3x-1

h(x) = x · 3x+1

h(x) = x · 3x-1

Answer 1

A

Explanation:

Answer 2

A.
`h(x) = 3^(x+1)`

Explanation:

Stretching means that original function is multiplied by a constant, which is equal to 3 in this case:

`h(x) = 3 \cdot g (x)`

`h(x) = 3\cdot 3^(x)`

`h(x) = 3^(x+1)`

The answer is A.