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
<u />
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
Answer:
when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|
f(x) = |x+9|
if you set that equal to zero then X= -9
so shifting over to the left is the right choice
Step-by-step explanation:
Answer:
x = - 5
Step-by-step explanation:
x + 5 = 0
x + 5 - 5 = 0 - 5
x = - 5
Answer:
-3/2
Step-by-step explanation:
you can find the perpendicular slope by putting the slope in 1/-m. M is the current slope you have or really you can flip it and change the signs so for example, 1/-(2/3) = -3/2