Question

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

Answer 1

Answer:

it is d in edge

Answer 2

Answer:

Reflect across the y-axis.

Stretch by a factor of 3.

Shift 2 units up.

Step-by-step explanation:

Below are some transformations for a function  $f(x)$ :

1. If $f(x)+k$, the function is shifted "k" units up.

2. If $f(x)-k$, the function is shifted "k" units down.

3. If $f(x-k)$, the function is shifted "k" units right.

4. If $f(x+k)$, the function is shifted "k" units left.

5. If $-f(x)$, the function is reflected over the x-axis.

6. If $f(-x)$, the function is reflected over the y-axis.

7. If $bf(x)$ and $b>1$, the function is  stretched vertically by a factor of "b".

8. If $bf(x)$ and $0$ the function is compressed vertically by a factor of "b".

Then, given the parent function  $f(x)$ :

 $f(x)=2^x$

And knowing that the other function is:

 $g(x)=3(2)^{-x}+2$

You can identify that the function $g(x)$ is obtained by:

-  Reflecting the function  $f(x)$ across the y-axis.

-  Stretching the function $f(x)$  vertically by a factor of 3.

- Shifting the function $f(x)$ 2 units up.