Which of the following describes the transformation of g(x)=3(2)* +2 from the parent function f(x)=2*?
O reflect across the x-axis, stretch the graph vertically by a factor of 3, shift 2 units up
O reflect across the y-axis, stretch the graph vertically by a factor of 2, shift 3 units up
O reflect across the x-axis, stretch the graph vertically by a factor of 2, shift 3 units up
O reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

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joaobezerra joaobezerra · Answer 1 · 2021-12-22T13:23:14+01:00

Using translation concepts, it is found that the correct option is:

reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

The parent function is:

[tex]f(x) = 2^x[/tex]

First, the function was multiplied by -1, hence it was reflected across the x-axis.

Then, it was multiplied by 3, which means that it was stretched vertically by a factor of 3.

These transformations resulted in the function:

[tex]g(x) = -3(2)^x + 2[/tex]

To learn more about translation concepts, you can take a look at https://brainly.com/question/4521517