Y = -x^2Answer the problem.
2 answers:
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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
