Answer:

Step-by-step explanation:
1. Subtract 10 from both sides. Then:

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

3. Add 22 to both sides. Then:

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

5. Subtract 30 from both sides. Then:

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

7. Subtract 13 from both sides. Then:

8. Add 12 to both sides. Then:

Answer:
length of each side should be multiplied by 2
F(x) means the function defined at that x value. It really just means what y value when x is equal to that input. So we can see clearly that A is false. They’re nearly opposite y values. B is also obviously false since the y values aren’t equal. C is the same case, the y values aren’t equal. D is true. When x = -2 for both functions, we can see the y value is the same. They also intercept, so that’s a pretty dead giveaway
D.)
Answer:
D
Step-by-step explanation:
I will outside some translation and reflection rules below:
Let a function be f(x)
Then,
- f(x) + a is the function shifted a units up
- f(x) - a is the function shifted a units down
- f(x-b) is the function shifted b units right
- f(x+b) is the function shifted b units left
Now, reflection:
- f(-x) is the original reflected across y-axis
- -f(x) is the original reflected in x-axis
It says to replace f(x) with f(-x), according to our rules, it is:
horizontal reflection over y-axis, answer choice D.
If you take a function f(x) = x + 2, then make f(-x), it becomes:
f(-x) = -x + 2
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Graphing, you will see that they are reflections over y-axis. (graph attached).
<u>Note:</u>
<u>f(x) is red</u>
<u>f(-x) is blue</u>
So, answer choice is D