Question

Pleaseee help me w dis asap!!!

Answer 1

1). g(x) =
`5^(3x)`

2). g(x) =
`(1)/(3)5^(x)`

3). g(x) =
`3(5)^(x)`

4). g(x) =
`5^{(1)/(3)x}`

Explanation:

Parent function f(x) =
`a^(x)` when transformed in the form of
`g(x)=h(a^{(x)/(k) })`

1). If h > 1, function is vertically stretched.

2). If 0 < h < 1, function is vertically compressed.

3). If k > 1, function is horizontally compressed.

4). If 0 < k < 1, function is horizontally stretched.

Parent function of the given functions in the question is f(x) =
`5^(x)`

g(x)=
`(1)/(3)(5^(x))`, parent function is vertically compressed by a factor of
`(1)/(3)`.

g(x) =
`5^(3x)`, parent function 'f' is horizontally stretched by a factor of 3.

g(x) =
`5^{(x)/(3)}`, parent function 'f' is horizontally compressed by a factor of
`(1)/(3)`.

g(x) =
`3(5^(x))`, parent function 'f' is vertically stretched by a factor of 3.