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Allushta [10]
3 years ago
11

Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent

function f (x) = 2 Superscript x?
shift 4 units left, reflect over the x-axis, shift 2 units down
shift 4 units left, reflect over the y-axis, shift 2 units down
shift 4 units right, reflect over the x-axis, shift 2 units down
shift 4 units right, reflect over the y-axis, shift 2 units down
Mathematics
1 answer:
o-na [289]3 years ago
7 0

Answer: First option.

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.

Then, given the parent function f(x):

f(x)=2^x

And knowing that the the other function is:

g(x)=-2^{(x+4)}-2

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

- Shifting the function f(x) 4 units left.

-  Reflecting the function  f(x) 4 over the x-axis.

- Shifting the function f(x) 2 units down.

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